A car traveling at a constant speed of 33 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 2.62 m/s^2.

Question

A car traveling at a constant speed of 33 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 2.62 m/s^2.
How long after the trooper starts the chase does he overtake the speeding car? (answer in units of s)

bobpursley · Answer

distance car= 33m/s * time distance cop= 1/2 a (t-1)^2 the distances are the same, set the two equal,and solve for t. You may need the quadratic equation.