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Question

Question: The distance travelled by a particle is proportional to the squares of time, then the particle trave...

The distance travelled by a particle is proportional to the squares of time, then the particle travels with

A

Uniform acceleration

B

Uniform velocity

C

Increasing acceleration

D

Decreasing velocity

Answer

Uniform acceleration

Explanation

Solution

st2s \propto t ^ { 2 } (given) \therefore s=Kt2s = K t ^ { 2 }

Acceleration a=d2sdt2=2ka = \frac { d ^ { 2 } s } { d t ^ { 2 } } = 2 k (constant)

It means the particle travels with uniform acceleration.