The velocity of a body at the end of 5 s5 s is 30 m s−130 m s-1, at the end of 12 s is 58 m s−158 m s-1 and at the end of 22 s, it is 98 m s−198 m s-1. The body is moving withAuniform velocity.Buniform acceleration.Cuniform displacement.Duniform retardation.
Question
The velocity of a body at the end of 5 s5 s is 30 m s−130 m s-1, at the end of 12 s is 58 m s−158 m s-1 and at the end of 22 s, it is 98 m s−198 m s-1. The body is moving withAuniform velocity.Buniform acceleration.Cuniform displacement.Duniform retardation.
Solution
The body is moving with uniform acceleration.
Here's why:
The change in velocity over the change in time gives us acceleration.
From 5s to 12s (7 seconds), the velocity changes from 30 m/s to 58 m/s. This gives us an acceleration of (58-30)/7 = 4 m/s^2.
From 12s to 22s (10 seconds), the velocity changes from 58 m/s to 98 m/s. This gives us an acceleration of (98-58)/10 = 4 m/s^2.
Since the acceleration is the same in both time intervals, we can conclude that the body is moving with uniform acceleration.
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