A car is traveling at a speed of 30.m^-1 when a traffic light,40 ahead turns red.the driver take 1 second to react ( reaction time) before he slams on the brakes.The car stopped within 2 seconds. Will the car stop at traffic light? Show by calculation

1 answer

The acceleration applied was -15m/s^2, since 30m/s was reduced to zero in 2 seconds.
So, the total distance traveled during braking was
s = 30*2 - 1/2 * 15 * 2^2
add to that the 30m moved before hitting the brakes