Physics

Problem

A particle moves along a straight line as follows: • From

t = 0

t = 2\,\text{s}

, its velocity increases uniformly from

3\,\text{m\,s}^{-1}

11\,\text{m\,s}^{-1}

. • From

t = 2\,\text{s}

t = 5\,\text{s}

, its velocity decreases uniformly to

-1\,\text{m\,s}^{-1}

. • It then continues with the constant velocity

-1\,\text{m\,s}^{-1}

up to

t = 7\,\text{s}

. a. (a) Calculate the average acceleration during the first

5\,\text{s}

. b. (b) What is the instantaneous acceleration at

t = 2\,\text{s}

? c. (c) Determine the total displacement of the particle from

t = 0

t = 7\,\text{s}