if a car goes from 10 m/s to a full stop,then its change in velocity is 10m/s.if it decelerates at a rate of 2.5 m/sec square,it will take 4 sec to stop.how far this car will travel when braking to a stop?

To find the distance traveled when a car brakes to a stop, we can use the equation:

d = (vi² - vf²) / (2a)

where:
d = distance traveled
vi = initial velocity
vf = final velocity
a = acceleration/deceleration

Given:
vi = 10 m/s
vf = 0 m/s (since the car comes to a full stop)
a = -2.5 m/s² (negative because it is decelerating)

Substitute the values into the equation:

d = (10² - 0²) / (2 * -2.5)

Simplifying:

d = (100 - 0) / -5

d = -100 / -5

d = 20 meters

Therefore, the car will travel a distance of 20 meters when braking to a stop.