# Retardation problem

1. Jun 29, 2015

### takando12

1. The problem statement, all variables and given/known data
A driver applies brakes on seeing a traffic signal 400 m ahead. At the time of applying brakes the vehicle was moving with 15m/s and retarding with 0.3m/s2. The distance of the vehicle after 1 min from the traffic light is?
A) 25m B) 375m C) 360m D) 40m

2. Relevant equations

3. The attempt at a solution
Using v=u+at I found the time that the car takes to come v=0 is 50 sec. And using s=ut+1/2at2 I found the distance it travelled in 50 sec is 375m . Hence distance from the traffic light is 25m.
The same problem , this time using s=ut+1/2at2 and t=60 secs (this is what i did first) , i got s= 360m and distance from traffic light =40m. Why exactly is this not working? Is the reason that the equation gives me this answer is that the equation assumes that the car is going to stop at t=50 sec and then continue speeding up in the opposite direction? Please help.

2. Jun 29, 2015

### Nathanael

Yes, exactly.

You are expected to model the situation of a person driving up to a stop light. (People don't reverse at stop lights).

Your model was: acceleration = -0.3 m/s/s

But the better model is: For time 0<t<T acceleration = -0.3 m/s/s; for time t>T acceleration = 0 (where T is the time to come to a stop).

3. Jun 29, 2015

### takando12

thank you sir,