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Physics-

General

Easy

Question

The motion of a particle is described by the equation $x equals a plus b t to the power of 2 end exponent$ where $a equals 15 blank c m$ and $b equals 3 blank c m divided by s to the power of 2 end exponent$ .Its instantaneous velocity at time $3 blank s e c$ will be

$36 c m / s e c$
$18 c m / s e c$
$16 c m / s e c$
$32 c m / s e c$

The correct answer is: $18 blank c m divided by s e c$

$x equals a plus b t to the power of 2 end exponent comma blank v equals fraction numerator d x over denominator d t end fraction equals 2 b t$
Instantaneous velocity $v equals 2 cross times 3 cross times 3 equals 18 blank c m divided by s e c$

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