Draw and explain v to t graphs for uniformly accelerated motion.

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2.Motion in Straight Line

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Draw and explain the $v \to t$ graphs for uniformly accelerated motion.

Option A

Option B

Option C

Option D

Solution

zVelocity-time graph for motion with constant acceleration are as following :

An object is moving in a positive direction with a positive acceleration, then graph $(a)$ is obtained.

An object is moving in positive direction with a negative acceleration, then graph$ (b)$ is obtained. An object is moving in negative direction with a negative acceleration, then graph $(c)$ is obtained.

An object is moving in positive direction till time $t_{1}$ and then turning back and moving with the same negative acceleration. This is shown in graph (d).

An interesting feature of a velocity-time graph for any moving object is that the area under the curve represents the displacement over a given time interval.

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