Physics – Mathematics needed to create a very simple 2D side view car game

I'm trying to create a 2D car game with a side view (something like Hill Climb Racing, but much simpler), but I'm confused in mathematics and physics.

Most of the tutorials I found were about how to make a top-down view game. The rest referred to the Unity3D engine, which performs all the calculations behind the scenes and uses complex objects, while I would like to achieve my goal using simple objects, such as 2D vectors and abstract them on my own (ie without any type of engine of games).

The project in which I am working assumes that a car is a rectangle with 2 wheels, which are ellipses. You do not need to brake, reverse and accelerate, you just have to keep going straight (and, finally, stop in case you lose all your speed).

An example of terrain where you would drive the car:

Ground

I can not figure out how to move the car on uneven terrain, how to turn and move it when it falls off a hill, etc.

Do you have any idea how to move and rotate the car with respect to its current position and speed?

Cars – entering Ukraine with someone else's car

I plan to travel to Ukraine for a couple of weeks this summer by car, but the car is not registered in my name. I know from experience that other countries often have special regulations for such cases to prevent the transport of stolen cars. Of course, I have the car registration documents and a green insurance card valid for Ukraine, but do I need more supporting documents, since it is not my own car?

I have already found a lot of conflicting information on the net or in different forums, so I would really appreciate any response to be linked to the official resources, either in Ukrainian or in English. I already tried to contact the Ukrainian authorities, but I do not receive any response.

My situation is mentioned in the travel advice for Ukraine of the Federal Ministry of Foreign Affairs of Germany. They claim that I need a power of attorney and apostille from the car owner, which must be translated into Ukrainian by an approved interpreter. However, I am not sure if this information is updated and, in any case, it is not authorized. The issue has been discussed in different Internet forums, where it is stated that an informal power is sufficient (without the need for a notarial certification, apostille or adequate translation) or that a power used to be required, but the requirement has been required. It has risen completely.

[Vn5socks.net] Automatic update 24/7 – Good socks 9h20 AM

LIVE ~ 128.199.254.103:19130 | 0.128 | Unknown | Unknown | Unknown | UK | Reviewed in vn5socks.net
LIVE ~ 195.154.174.241:9050 | 0.194 | Unknown | Unknown | Unknown | France | Reviewed in vn5socks.net
LIVE ~ 173.249.29.137:9050 | 0.216 | Peaceful | California | 94044 | U.S | Reviewed in vn5socks.net
LIVE ~ 188.166.33.15:9050 | 0.192 | St. Petersburg | 66 | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 89.248.160.139:9050 | 0.253 | Unknown | Unknown | Unknown | Netherlands | Reviewed in vn5socks.net
LIVE ~ 84.47.135.78:1999 | 0.233 | Moscow | 48 | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 213.136.89.190:49668 | 0.255 | Unknown | Unknown | Unknown | Germany | Reviewed in vn5socks.net
LIVE ~ 178.62.250.186:9050 | 0.194 | Unknown | Unknown | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 95.110.230.142:12488 | 0.206 | Unknown | Unknown | Unknown | Italy | Reviewed in vn5socks.net
LIVE ~ 124.65.145.126:7302 | 0.063 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 94.244.130.209:55450 | 0.273 | Kiev | 12 | Unknown | Ukraine | Reviewed in vn5socks.net
LIVE ~ 159.65.180.9:9050 | 0.252 | Dallas | TX | 75231 | U.S | Reviewed in vn5socks.net
LIVE ~ 37.59.50.81:9050 | 0.249 | Unknown | Unknown | Unknown | France | Reviewed in vn5socks.net
LIVE ~ 119.28.191.18:7070 | 0.064 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 178.62.215.135:4481 | 0.214 | Unknown | Unknown | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 78.47.225.59:9050 | 0.28 | Unknown | Unknown | Unknown | Germany | Reviewed in vn5socks.net
LIVE ~ 119.23.175.107:1086 | 0.095 | Chaoyang | 19 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 183.129.207.93:13629 | 0.075 | Hangzhou | 02 | Unknown | China | Reviewed in vn5socks.net

Fire
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[Vn5socks.net] Automatic update 24/7 – Good socks 9h20 AM
LIVE ~ 128.199.254.103:19130 | 0.128 | Unknown | Unknown | Unknown | United Kingdom | Checked on vn5socks.net
LIVE ~ 195.154.174.241:9050 | 0.194 | Unknown | Unknown | Unknown | France | Checked on vn5socks.net
LIVE ~ 173.249.29.137:9050 | 0.216 | Pacifica | CA | 94044 | United States | Checked on vn5socks.net
LIVE ~ 188,166.33.15:9050 | 0.192 | St. Petersburg | 66 | Unknown | Russian Federation | Checked on vn5socks.net
LIVE ~ 89.248.160.139:9050 | 0,253 |

Classification: 5

.

[Vn5socks.net] Automatic update 24/7 – Good socks 11h15 PM

LIVE ~ 220.79.34.109:2018 | 0.17 | Seoul | eleven | Unknown | Korea, Republic of | Reviewed in vn5socks.net
LIVE ~ 159.89.214.31:9050 | 0.202 | Vancouver | BC | v7y1j7 | Canada | Reviewed in vn5socks.net
LIVE ~ 173.249.29.137:9050 | 0.228 | Peaceful | California | 94044 | U.S | Reviewed in vn5socks.net
LIVE ~ 195.154.174.241:9050 | 0.192 | Unknown | Unknown | Unknown | France | Reviewed in vn5socks.net
LIVE ~ 89.248.160.139:9050 | 0.255 | Unknown | Unknown | Unknown | Netherlands | Reviewed in vn5socks.net
LIVE ~ 128.199.254.103:19130 | 0.104 | Unknown | Unknown | Unknown | UK | Reviewed in vn5socks.net
LIVE ~ 216.21.200.120:10200 | 0.229 | Walpole | I | 04573 | U.S | Reviewed in vn5socks.net
LIVE ~ 213.136.89.190:49668 | 0.257 | Unknown | Unknown | Unknown | Germany | Reviewed in vn5socks.net
LIVE ~ 47.94.19.105:3001 | 0.13 | Ottawa | IN | k1y4h7 | Canada | Reviewed in vn5socks.net
LIVE ~ 159.65.180.9:9050 | 0.316 | Dallas | TX | 75231 | U.S | Reviewed in vn5socks.net
LIVE ~ 47.93.251.207:3001 | 0.099 | Ottawa | IN | k1y4h7 | Canada | Reviewed in vn5socks.net
LIVE ~ 84.47.135.78:1999 | 0.245 | Moscow | 48 | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 47.75.14.41:61234 | 0.079 | Ottawa | IN | k1y4h7 | Canada | Reviewed in vn5socks.net
LIVE ~ 188.166.33.15:9050 | 0.186 | St. Petersburg | 66 | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 138.68.59.157:1210 | 0.197 | Wilmington | Delaware | 19880 | U.S | Reviewed in vn5socks.net
LIVE ~ 178.62.250.186:9050 | 0.196 | Unknown | Unknown | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 66.71.246.90:2606 | 0.236 | Atlanta | Georgia | 30303 | U.S | Reviewed in vn5socks.net
LIVE ~ 94.244.130.209:55450 | 0.267 | Kiev | 12 | Unknown | Ukraine | Reviewed in vn5socks.net

Fire
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[Vn5socks.net] Automatic update 24/7 – Good socks 11h15 PM
LIVE ~ 220.79.34.109:2018 | 0,17 | Seoul | 11 | Unknown | Korea, Republic of | Checked on vn5socks.net
LIVE ~ 159.89.214.31:9050 | 0.202 | Vancouver | BC | v7y1j7 | Canada | Checked on vn5socks.net
LIVE ~ 173.249.29.137:9050 | 0.228 | Pacifica | CA | 94044 | United States | Checked on vn5socks.net
LIVE ~ 195.154.174.241:9050 | 0.192 | Unknown | Unknown | Unknown | France | Checked on vn5socks.net
LIVE ~ 89.248.160.139:9050 | 0.255 | Unknown | Unknown | Unknown |

Classification: 5

.

java – I need instructions for my AI racing car game

I have a school project to create a game of 2D AI racing cars, but nobody knows where the destination is, and the map is generated randomly. But to avoid the dead end, we must teach the car not to move again towards that road. I wonder if there were algorithms or methods to store the impasse that was approved. I have searched for the algorithm A * but I think that algorithm does not help me in this case.

[Vn5socks.net] Automatic update 24/7 – Good socks 11h40 AM

LIVE ~ 119.28.191.18:7070 | 0.038 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 45.118.144.102:33937 | 0.001 | Unknown | Unknown | Unknown | Unknown | Reviewed in vn5socks.net
LIVE ~ 47.94.19.105:3001 | 0.065 | Ottawa | IN | k1y4h7 | Canada | Reviewed in vn5socks.net
LIVE ~ 124.65.145.126:7302 | 0.058 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 188.166.33.15:9050 | 0.194 | St. Petersburg | 66 | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 95.110.230.142:12488 | 0.203 | Unknown | Unknown | Unknown | Italy | Reviewed in vn5socks.net
LIVE ~ 46.4.20.168:9050 | 0.261 | Unknown | Unknown | Unknown | Germany | Reviewed in vn5socks.net
LIVE ~ 58.68.228.234:1234 | 0.073 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 220.79.34.109:2018 | 0.115 | Seoul | eleven | Unknown | Korea, Republic of | Reviewed in vn5socks.net
LIVE ~ 124.65.144.38:7302 | 0.08 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 207.230.114.35:40566 | 0.269 | Cupertino | California | 95015 | U.S | Reviewed in vn5socks.net
LIVE ~ 173.249.29.137:9050 | 0.219 | Peaceful | California | 94044 | U.S | Reviewed in vn5socks.net
LIVE ~ 220.231.143.59:7302 | 0.118 | Shenzhen | 30 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 119.23.175.107:1086 | 0.144 | Chaoyang | 19 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 58.32.254.125:7070 | 0.076 | Carry off | 2. 3 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 195.154.174.241:9050 | 0.185 | Unknown | Unknown | Unknown | France | Reviewed in vn5socks.net
LIVE ~ 107,181,174.76:7691 | 0.186 | Unknown | Unknown | Unknown | Unknown | Reviewed in vn5socks.net
LIVE ~ 159.65.180.9:9050 | 0.285 | Dallas | TX | 75231 | U.S | Reviewed in vn5socks.net

Fire
reviewed by Fire in
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[Vn5socks.net] Automatic update 24/7 – Good socks 11h40 AM
LIVE ~ 119.28.191.18:7070 | 0.038 | Beijing | 22 | Unknown | China | Checked on vn5socks.net
LIVE ~ 45.118.144.102:33937 | 0.001 | Unknown | Unknown | Unknown | Unknown | Checked on vn5socks.net
LIVE ~ 47.94.19.105:3001 | 0.065 | Ottawa | ON | k1y4h7 | Canada | Checked on vn5socks.net
LIVE ~ 124.65.145.126:7302 | 0.058 | Beijing | 22 | Unknown | China | Checked on vn5socks.net
LIVE ~ 188,166.33.15:9050 | 0.194 | St. Petersburg | 66 | Unknown | Russian

Classification: 5

.

magento 1.9 – The driver empties the car in every first session, but works perfectly every time after

I am creating a custom module for Magento 1.9 to send articles by email. Every time the controller is called (from any URL), the cart is emptied, but each subsequent call works perfectly (keep the same session, add items to the cart and the call controller works). I have isolated the behavior of the IndexController that extends Mage_Core_Controller_Front_Action. Even in the simplified code below, the same behavior occurs, and I have verified that the session ID and the formKey are present. Am I extending the wrong class, or is there something else wrong with this structure?

_redirectReferer ();
}

}

[Vn5socks.net] Automatic update 24/7 – Good socks 11h10 PM

LIVE ~ 124.65.144.38:7302 | 0.102 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 220.79.34.109:2018 | 0.13 | Seoul | eleven | Unknown | Korea, Republic of | Reviewed in vn5socks.net
LIVE ~ 220.231.143.59:7302 | 0.096 | Shenzhen | 30 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 119.23.175.107:1086 | 0.117 | Chaoyang | 19 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 124.65.128.150:2360 | 0.074 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 138.68.59.157:1210 | 0.241 | Wilmington | Delaware | 19880 | U.S | Reviewed in vn5socks.net
LIVE ~ 95.110.230.142:12488 | 0.248 | Unknown | Unknown | Unknown | Italy | Reviewed in vn5socks.net
LIVE ~ 58.32.254.125:7070 | 0.073 | Carry off | 2. 3 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 195.154.174.241:9050 | 0.18 | Unknown | Unknown | Unknown | France | Reviewed in vn5socks.net
LIVE ~ 37.59.50.81:9050 | 0.256 | Unknown | Unknown | Unknown | France | Reviewed in vn5socks.net
LIVE ~ 124.65.145.126:7302 | 0.068 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 46.4.20.168:9050 | 0.194 | Unknown | Unknown | Unknown | Germany | Reviewed in vn5socks.net
LIVE ~ 89.248.160.139:9050 | 0.287 | Unknown | Unknown | Unknown | Netherlands | Reviewed in vn5socks.net
LIVE ~ 107,181,174.76:7691 | 0.245 | Unknown | Unknown | Unknown | Unknown | Reviewed in vn5socks.net
LIVE ~ 173.249.29.137:9050 | 0.204 | Peaceful | California | 94044 | U.S | Reviewed in vn5socks.net
LIVE ~ 178.62.250.186:9050 | 0.193 | Unknown | Unknown | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 159.65.180.9:9050 | 0.281 | Dallas | TX | 75231 | U.S | Reviewed in vn5socks.net
LIVE ~ 216.21.200.120:10200 | 0.224 | Walpole | I | 04573 | U.S | Reviewed in vn5socks.net

Fire
reviewed by Fire in
.
[Vn5socks.net] Automatic update 24/7 – Good socks 11h10 PM
LIVE ~ 124.65.144.38:7302 | 0.102 | Beijing | 22 | Unknown | China | Checked on vn5socks.net
LIVE ~ 220.79.34.109:2018 | 0,13 | Seoul | 11 | Unknown | Korea, Republic of | Checked on vn5socks.net
LIVE ~ 220.231.143.59:7302 | 0.096 | Shenzhen | 30 | Unknown | China | Checked on vn5socks.net
LIVE ~ 119.23.175.107:1086 | 0.117 | Chaoyang | 19 | Unknown | China | Checked on vn5socks.net
LIVE ~ 124.65.128.150:2360 | 0.074 | Beijing | 22 | Unknown | China | Checked

Classification: 5

.

[Vn5socks.net] Automatic update 24/7 – Good socks 7h45 PM

LIVE ~ 119.28.191.18:7070 | 0.047 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 124.65.145.126:7302 | 0.07 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 124.65.128.150:2360 | 0.088 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 95.110.230.142:12488 | 0.224 | Unknown | Unknown | Unknown | Italy | Reviewed in vn5socks.net
LIVE ~ 47.94.19.105:3001 | 0.072 | Ottawa | IN | k1y4h7 | Canada | Reviewed in vn5socks.net
LIVE ~ 47.93.251.207:3001 | 0.095 | Ottawa | IN | k1y4h7 | Canada | Reviewed in vn5socks.net
LIVE ~ 58.32.254.125:7070 | 0.073 | Carry off | 2. 3 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 220.79.34.109:2018 | 0.1 | Seoul | eleven | Unknown | Korea, Republic of | Reviewed in vn5socks.net
LIVE ~ 188.166.33.15:9050 | 0.227 | St. Petersburg | 66 | Unknown | Russian Federation | Reviewed in vn5socks.net
LIVE ~ 37.59.50.81:9050 | 0.253 | Unknown | Unknown | Unknown | France | Reviewed in vn5socks.net
LIVE ~ 173.249.29.137:9050 | 0.214 | Peaceful | California | 94044 | U.S | Reviewed in vn5socks.net
LIVE ~ 47.97.11.181:7300 | 0.085 | Ottawa | IN | k1y4h7 | Canada | Reviewed in vn5socks.net
LIVE ~ 124.65.144.38:7302 | 0.059 | Beijing | 22 | Unknown | China | Reviewed in vn5socks.net
LIVE ~ 89.248.160.139:9050 | 0.244 | Unknown | Unknown | Unknown | Netherlands | Reviewed in vn5socks.net
LIVE ~ 107,181,174.76:7691 | 0.192 | Unknown | Unknown | Unknown | Unknown | Reviewed in vn5socks.net
LIVE ~ 46.4.20.168:9050 | 0.268 | Unknown | Unknown | Unknown | Germany | Reviewed in vn5socks.net
LIVE ~ 78.47.225.59:9050 | 0.199 | Unknown | Unknown | Unknown | Germany | Reviewed in vn5socks.net
LIVE ~ 195.154.174.241:9050 | 0.186 | Unknown | Unknown | Unknown | France | Reviewed in vn5socks.net

Fire
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[Vn5socks.net] Automatic update 24/7 – Good socks 7h45 PM
LIVE ~ 119.28.191.18:7070 | 0.047 | Beijing | 22 | Unknown | China | Checked on vn5socks.net
LIVE ~ 124.65.145.126:7302 | 0.07 | Beijing | 22 | Unknown | China | Checked on vn5socks.net
LIVE ~ 124.65.128.150:2360 | 0.088 | Beijing | 22 | Unknown | China | Checked on vn5socks.net
LIVE ~ 95.110.230.142:12488 | 0.224 | Unknown | Unknown | Unknown | Italy | Checked on vn5socks.net
LIVE ~ 47.94.19.105:3001 | 0.072 | Ottawa | ON | k1y4h7 | Canada | Reviewed in

Classification: 5

.

[ Insurance & Registration ] Open question: My car costs $ 8,000 to fix it. That I have to do?

My insurance would not cover the damage caused to my vehicle. I am still paying the car loan in this car and not knowing what to do at this time. I mean, I can not sell the car because it would not sell for a long time and even then it would go away with the problem of paying the loan. Someone out there has some suggestion. I just do not have the money to pay $ 8,000 to fix the car. It's a BMW 528i (2013).