1.

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`.

Answer» From the principle of dimensional homogenity , `[ x] = [ bt^(2)]`
rArr `[b] = [(x)/( t^(2))]`
Therefore , unit of `b = km s^(-2)`.


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