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If x=at+bt^(2), where x is the distance ...

If `x=at+bt^(2)`, where `x` is the distance travelled by the body in kilometres while `t` is the time in seconds, then the units of `b` are

A

`kms^(2)`

B

`kms`

C

`km//s^(2)`

D

`km//s`

Text Solution

Verified by Experts

The correct Answer is:
c
`x=at+bt^(2)`
All terms must have the same dimensions.
`therefore |x|=|bt^(2)|`
`therefore b=(x)/(t^(2))`
`therefore` The unit of b is `km//s^(2)` or `kms^(-2)`.
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