Chapter 11.1, Problem 32E

A motorist starts braking for a stop sign. After t seconds, the distance, inmetres, from the front of the car to the sign is s(t) = 62 - 16t + t^2.a. How far was the front of the car from the sign when the driver startedbraking?b. Does the car go beyond the stop sign before stopping?c. Explain why it is unlikely that the car would hit another vehicle that istravelling perpendicular to the motorist's road when the car first comes toa stop at the intersection.

An object moves in a straight line so that its velocity after t seconds v(t) = 2(sqroot)t - t. Determine the displacement and distance traveled by the object on [0,16].