If the displacement of an object is proportional to square of time, then the object moves with:
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Answer:
If the displacement of an object is proportional to the square of the time taken then the body is moving with uniformly accelerated motion as it will follow Newton's second equation of motion for a particular initial velocity, which can be given by, s=ut+21at2.
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Explanation:
The body starts from rest.
Displacement is proportional to square of time
- s is displacement
- t is time
Then,
s ∝ t²
s = kt²
⠀⠀⠀ , where k is constant of proportionality.
Velocity (v) = ds/dt = 2kt
- So velocity goes on increasing linearly with time.
Acceleration (a) = dv/dt = 2k = constant.
★ So, the motion of body is Constant Acceleration.
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