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Question

A particle starts from rest at t=0 and moves in a straight line with acceleration as shown in the following figure.

The velocity of the particle at t=3 seconds is
  1. 6 m/s
  2. 4 m/s
  3. 2 m/s
  4. 8 m/s


Solution

The correct option is B 4 m/s
As object starts from rest, area of at curve gives change in velocity
Velocity at 3 seconds = total algebraic sum of area under the curve.
or v=4×24×1
=84=4 m/s
Hence, the correct answer is option (b).

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