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Question
A car is moving on a straight road with uniform acceleration. The speed of the car varies with time as follows :
Time (s) : 0 2 4 6 8 10
Speed (m/s) : 4 8 12 16 20 24
Draw the speed-time graph by choosing a convenient scale. From this graph :
(1) Calculate the acceleration of the car.
(2) Calculate the distance travelled by the car in 10 seconds.
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Solution
We have a velocity-time graph of a moving particle.
(i) We have to find the acceleration from the given graph.
Acceleration = slope of line
= `((12-4))/((4-0)) "m/s"^2 = 2 "m/s"^2`
(ii) Distance travelled by the car is given by the area enclosed by the curve.
s = `"(Sum of parallel sides)(Height)"/2`
= `((4+24)(10))/2` m
= 140 m
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