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Question

The acceleration versus time graph for a particle moving along a straight line is shown in the figure. If the particle starts from rest at t=0, then its speed at t=30 s will be


A
20 m/s
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B
0 m/s
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C
40 m/s
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D
60 m/s
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Solution

The correct option is C 40 m/s
For at curve,
area under the graph = change in velocity.

Total area under the graph from t=0 to t=30 s is given by
A= Area of the graph from t=0 to t=10 s + Area of the graph from t=10 s to t=30 s
A=4×1020×4=40 m/s
Now,
A=Δv (where Δv is change in velocity)
40=v30v0
As v0=0
v30=40 m/s
Hence, speed of the particle at 30 s=40 m/s

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