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