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
(i) Calculate the average acceleration of the bike between t=0s and t=4s.
(ii) Determine the average acceleration between t=1s and t=3s.
(iii) Using the smallest suitable time intervals centred about t=2s, obtain an estimate for the instantaneous acceleration at t=2s.