The given plot shows the variation of acceleration with time for an object that started from rest at time t=0 s. The velocity at time t= 15s and 25 s are
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The velocity at t=15 seconds = 100 m/s
The velocity at t= 25 seconds = 150 m/s
The area under the acceleration - time graph will give the velocity at that time.
For t= 15 seconds the velocity will be equal to the area under the curve till t=15 seconds
Area = (1/2 × 10 × 10) + 5 ×10
= 100
The velocity at t= 15 seconds
= 100 m/s
For t= 25 seconds the velocity will be equal to the area under the curve till t=25 seconds
Area = (1/2 × 10 × 10) + 5 ×10 + (1/2 × 10 × 10)
= 150
The velocity at t= 25 seconds
= 150 m/s
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