Question

# The acceleration-time graph of a body is shown below The most probable velocity time graph of the body is

A
B
C
D

Solution

## The correct option is C From given a-t graph acceleration is increasing at constant rate ∴dadt=k (constant)⇒a=kt (by integration) ⇒dvdt=kt⇒∫dv=∫ktdt⇒v=kt22 i.e. v is depending on time parabolically and parabola is symmetric about v axis. After a certain point, acceleration becomes zero i.e. velocity becomes constant. Hence (c) is the most probable graph.

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