If ` x= at + bt^(2)` , where `x` is the distance rtravelled by the body in kilometer while `t` is the time in seconds , then find the units of `b`.

Options

A. `km//s`
B. `km-s`
C. `km//s^(2)`
D. `km-s^(2)`

Answer

C

Explanation

As `x = at +bt^(2)`
According to the concept of dimensional analysis and principle of homogeneity
`:.` unit of `x =` unit of `bt^(2)`
`:.` unit of `b = ("unti of" x)/("unit of" t^(2)) = km//s^(2)`