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 the car will travel when braking to a stop, we can use the equation:
distance = (initial velocity^2 - final velocity^2) / (2 * acceleration)
Given information:
- Initial velocity (u) = 10 m/s
- Final velocity (v) = 0 m/s (car comes to a full stop)
- Deceleration (acceleration) = -2.5 m/s^2 (negative because the car is decelerating)
Let's substitute the values into the equation and calculate:
distance = (10^2 - 0^2) / (2 * (-2.5))
Simplifying:
distance = (100 - 0) / (-5)
distance = 100 / (-5)
distance = -20 meters
Therefore, the car will travel 20 meters when braking to a stop. Note that the negative sign indicates that the car is moving in the opposite direction of the positive distance.
Vf^2=Vi^2+2ad
solve for d. a=-2.5