Q.

For retarded motion, the slope of the velocity-time graph is:

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a

Negative

b

Infinity

c

Zero

d

Positive

answer is C.

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Detailed Solution

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A body's velocity is defined as the rate at which its displacement changes. The magnitude and direction of velocity are both vector quantities in two dimensions.

Given 

Slope =ΔvΔt

The slope of a velocity-time graph represents the acceleration, which is defined as the rate of change in velocity.

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For retarded motion, the final velocity of the object is less than the initial velocity of the object therefore, the slope of the velocity-time graph is negative. As a result, option 3 is right.

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For retarded motion, the slope of the velocity-time graph is: