Thread: integration problem - velocity

A driver of a car travelling on a straight slippery road sees a stop sign 50m ahead and starts to brake. After the breaks are applied, the velocity of the car is given by m/s. Will the car go beyond the stop sign?

Originally Posted by shawli

A driver of a car travelling on a straight slippery road sees a stop sign 50m ahead and starts to brake. After the breaks are applied, the velocity of the car is given by m/s. Will the car go beyond the stop sign?

At t=0, the car is going 11 m/s. At what time does the car stop? Solve for that time, t.

Once you get that, integrate the velocity equation over the time interval to see the distance traveled and figure out your solution.