A cyclist is observed at two instants of time while moving along a straight road. He is 5m from a lamp-post at t=2s and 45m from the same lamp-post at t=10s. Use this information to answer the following.
a. (i) Plot the two points on a position–time coordinate system and join them with a straight line.
b. (ii) Calculate the speed of the cyclist during this interval.
c. (iii) If the cyclist continues to ride with the same speed, find his distance from the lamp-post at t=16s.