Kinematic Problem: Solve Traffic Light Stop Distance

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A motorist traveling at 13 m/s approaches a red traffic light 25 meters away, with a reaction time of 0.7 seconds and a maximum deceleration of 4.5 m/s². To determine how far from the stop line the car will stop, kinematic equations must be applied, particularly focusing on the effects of the reaction time and deceleration. The initial distance covered during the reaction time and the distance required to stop must be calculated separately. The discussion emphasizes understanding the concept of deceleration and how to manipulate kinematic equations to find the solution. Ultimately, the motorist will stop a certain distance from the stop line, which can be calculated using the provided parameters.
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Hi,really need help with this question.
A motorist traveling at 13 m/s aprroaches traffic lights which turn red when he is 25m away from the stop line.His reaction time(i.e. the interval between seeing the red light and applying the brakes)is 0.7s and the condition of the road and his tyres is such that the car cannot slow down at a rate of more than 4.5 ms-2.If he brakes fully,how far from the stop line will he stop,and on which side of it?

Thanks in advance!
 
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Please show us some effort from u! It is not that we cannot give you help.
 
use the very simple kinematics equations available. Manipulate them to et an answer. If you have a more specific probem in this question, please state it. Nobody will solve your problem for you.

V^2 = {V_o}^2 + 2ad
d = V_o t + \frac{1}{2} at^2
V = \frac{d}{t}

Regards,

Nenad
 
Oh,sorry,I actually just have one problem,which is the acceleration part of the question.Can anyone just explain what it means?Thanks.
 
It's a deceleration.With constant acceleration a=-4.5ms^{-2}...

Daniel.
 
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