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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) Distance travelled by car in the 4 second
In the given graph
56 full squares and 12 half squares come under the area slope for the time of 4 seconds.
Total number of squares = 56+(12/2)
=62 squares
On the time axis, 5 squares = 2 s.
∴ 1 square=2/5s
On the speed axis, 3 squares = 2 ms−1.
∴ 1 square=2/3 ms−1
∴ Area of 1 square = 2/5×2/3
=4/15 m
∴ Area of 62 squares = 4/15×62
=248/15
=16.53 m
Therefore, a car travels 16.53 m in the first 4 seconds.
(b) From point A to B, the graph represents uniform motion.
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