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# Define uniformly accelerated motion. Also show that the area under a velocity-time graph gives the magnitude of displacement.

Asked by Topperlearning User 16th June 2016, 10:20 AM

If an object undergoes equal changes in velocity in equal intervals of time, then its motion is called uniformly accelerated motion.

A velocity-time graph gives the magnitude of displacement by calculating the area under the graph.

Consider the velocity-time graph of a body moving with uniform velocity.

Area under the graph = area ABCD

= BC x AB

Assuming that line AB coincides at v m/s at the velocity axis and the DC = t s

Area under the graph = v x t

By definition: speed x time = magnitude of displacement.

Thus, the area under the velocity-time graph gives the magnitude of displacement.

Answered by Expert 16th June 2016, 12:20 PM
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