The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

The Porsche starts from rest at time t = 0. During the first 10 seconds of its motion, its velocity in km/h is given as a function of time by v = 22.8t – 0.88t2. where t is in seconds,

(a) What is the car's maximum acceleration in m/s2. and when does it occur?

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(b) What distance in km does the car travel during the 10 seconds?