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` areA. `kms^(2)`B. `kms`C. `km//s^(2)`D. `km//s`

If `x=at+bt^(2)`, where `x` is the distance travelled by the body in k

1.	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` areA. `kms^(2)`B. `kms`C. `km//s^(2)`D. `km//s`
Answer» Correct Answer - 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)`. x = at + bt² [x]=[bt²] [x/t²] = [b] [km/s²] = [b] Answer: C. km/s²

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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` areA. `kms^(2)`B. `kms`C. `km//s^(2)`D. `km//s`

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