Physics

Problem

The velocity of a motor-bike travelling in a straight line was recorded every second. The data obtained are given below. Use the data to answer the questions that follow.

Time $t$ (s)	0	1	2	3	4
Velocity $v$ (m\,s $^{-1}$ )	0	4	9	15	22

a. (i) Calculate the average acceleration of the bike between

t = 0\,\text{s}

and

t = 4\,\text{s}

. b. (ii) Determine the average acceleration between

t = 1\,\text{s}

and

t = 3\,\text{s}

. c. (iii) Using the smallest suitable time intervals centred about

t = 2\,\text{s}

, obtain an estimate for the instantaneous acceleration at

t = 2\,\text{s}

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