The velocity-time graph for a car is a semici | vedclass

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Question

(C) The velocity-time graph represents the motion of a car in a straight line with changing velocity. The total distance traveled is equal to the area

Vedclass · Accepted Answer

The mean speed of the particle is $\pi / 4 \, m/s$.

Vedclass · Answer

(C) The velocity-time graph represents the motion of a car in a straight line with changing velocity. The total distance traveled is equal to the area under the velocity-time graph. The area of the semicircle with radius $r = 1 \, m/s$ and base length $T = 2 \, s$ is given by: Area $= \frac{1}{2} \pi r^2 = \frac{1}{2} \pi (1)^2 = \frac{\pi}{2} \, m$. The mean speed is defined as the total distance divided by the total time: $V_{avg} = \frac{	ext{Total Distance}}{	ext{Total Time}} = \frac{\pi / 2}{2} = \frac{\pi}{4} \, m/s$. Thus,option $C$ is correct.

The velocity-time graph for a car is a semicircle as shown in the figure. Which of the following statements is correct?

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