The speed time graph for a car is shown in the figure.
(a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
(b) Which part of the graph represents uniform motion of the car?
(a) Here, 4 squares on t-axis = 4s
1 squares = 1s
2 squares on v-axis = 2 ms–1
1 squares = 1 ms–1
Hence area of 1 square = 1 × 1 = 1 m from t = 0 to t = 4s, the number of squares of the region between the v-t graph and t-axis = n = 20 (more than half the squares have been considered).
Hence the distance covered by the car is 13.33 m through the dotted squares.
(b) Here the speed of car is uniform after t = 7 seconds.
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