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Q.

Is it true that object P is retarding and object Q is accelerating in the given figure?

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a

True

b

False

answer is A.

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Detailed Solution

The given statement is true.
Question Image

Question Image

In a velocity-time graph, a straight line represents acceleration, so both graphs show acceleration, but the initial and final velocity of the objects decide whether they are accelerating or decelerating, so, for object P, the initial velocity is more than the final velocity and therefore it is decelerating and in second graph object Q has final velocity more than initial velocity and therefore it is accelerating.
As we know, if the slope is positive, then its acceleration, and if the slope is negative, then it will be deceleration.
Mathematically

Acceleration = \frac{change in velocity}{change in time}

For P,

Slope = \frac{final velocity - intial velocity}{Time interval}

= \frac{0 - 15}{5}

= - 3

.
Here slope is negative so it is deceleration
For Q,

Slope = \frac{final velocity - intial velocity}{Time interval}

= \frac{5 - 0}{5}

= 1 .

Here slope is positive so it is acceleration.

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