Question

The plot of velocity vs time of a moving particle is given above.
Find out the acceleration and displacement of the particle at point $A$?

• A. Acceleration decreasing, displacement decreasing
• B. Acceleration constant, displacement decreasing
• C. Acceleration increasing, displacement decreasing
• D. Acceleration decreasing, displacement increasing
• E. Acceleration increasing, displacement increasing

Answer 1

The correct option is C Acceleration increasing, displacement decreasing

We know acceleration is given by the slope of velocity - time graph.

$a=dv/dt=$slope of v-t graph.

At point $A$ slope of graph is positive therefore acceleration is positive i.e. it is increasing.

Now from figure velocity is negative at $A$ , it means the direction of velocity is changed as graph line crosses the x- axis .We know that the direction of displacement is always in the direction of velocity ,because velocity changes its direction at x-axis ,therefore displacement also, point $A$ is below the x-axis it means the direction of displacement is negative at this point i.e.displacement is decreasing.

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