The velocity of a scooter moving along a straight road (east taken as positive)…

PHYSICS · Multi-part · CBSE · Physics · Motion · Motion

Problem

The velocity of a scooter moving along a straight road (east taken as positive) changes with time as described below: • t=0t = 0 to 5 s5\,\text{s}: constant velocity +2 m/s+2\,\text{m/s} • t=5t = 5 to 15 s15\,\text{s}: constant velocity +4 m/s+4\,\text{m/s} • t=15t = 15 to 25 s25\,\text{s}: scooter is at rest • t=25t = 25 to 35 s35\,\text{s}: constant velocity −3 m/s-3\,\text{m/s} Using this information, answer the following. (i) Draw a neat velocity–time graph for the scooter on graph paper, choosing convenient scales for both axes. (ii) From your graph, determine the total distance travelled by the scooter during the 35 s35\,\text{s}. (iii) Determine the displacement of the scooter from the starting point after 35 s35\,\text{s}. (iv) Calculate the average speed and the average velocity for the entire journey, and briefly comment on the difference between the two values.

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