Question

If the displacement of an object is proportional to time square the the object is moving with

Answer 1

if s ~ t^2 then we can write an equation from that proportionality. We can do so by including a “constant of proportionality”.

Answer 2

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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