The velocity of a particle depends upon as

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The velocity of a particle depends upon as $v = a + bt + c{t^2}$; if the velocity is in $m/\sec $, the unit of $a$ will be

A

$m/\sec $

B

$m/{\sec ^2}$

C

${m^2}/\sec $

D

$m/{\sec ^3}$

The velocity of a particle depends upon as $v = a + bt + c{t^2}$; if the velocity is in $m/\sec $, the unit of $a$ will be

Quantities of similar dimensions can be added or subtracted so unit of $a $ will be same as that of velocity.