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The distance travelled by a particle in ...

The distance travelled by a particle in a straight line motion is directly proportional to `t^(1//2)`, where `t` is the time elapsed.

A

increasing acceleration

B

decrease accelration

C

increasing retardation

D

decreasing reatardation

Text Solution

Verified by Experts

The correct Answer is:
D
Given the `xalphasqrtt`
therefore `(dx)/(dt)alpha(1)/(2sqrtt)` or `(dx)/(dt)alphat^(-1//2)`
Further , `d^(2)x)/(dt^(2)alpha-(1)/(2)t^(-3//2)`
Or `aalpha-t^(-3//2)`
`therefore ` a is retardation and as t increase retadation decreases
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