A motorboat starts from rest on still water and moves in a straight line according to the plan below:
• accelerates uniformly for 8 s with a constant acceleration of 1.5 m/s²,
• then travels at the speed reached for the next 20 s,
• finally the engine is switched off and the boat slows down uniformly to 2 m/s in the following 10 s.
Answer the following:
a. (i) Construct the velocity–time graph for the entire motion described.
b. (ii) Determine the maximum speed attained by the boat.
c. (iii) Using the graph, calculate the total distance travelled during the 38 s of motion.
d. (iv) Find the average speed of the boat for the whole journey.