Question

at time ( t = 0 ), a car is traveling on a straight, level road and the driver begins to apply the brakes. the car slows down and eventually stops at time ( t_s ). the magnitude of the acceleration of the car as a function of time is equal to ( ct ), where ( c ) is a positive constant. which of the following graphs could represent the magnitude ( f_{\text{net}} ) of the net force on the car as a function of time?

Explanation:

Step1: Use Newton's second law

Newton's second law states that \(F_{net}=ma\). Given that \(a = Ct\) (where \(m\) is the mass of the car, a constant), then \(F_{net}=mCt\). Since \(m\) and \(C\) are positive constants, \(F_{net}\) is a linear function of \(t\) with a positive slope.

Answer:

C.