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The motion of a particle is described by the equation $x = a + b t^{2}$ where $a = 15 cm$ and $b = 3 cm$ . Its instantaneous velocity at time 3 sec will be:

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16 cm/sec

36 cm/sec

32 cm/sec

18 cm/sec

answer is B.

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Detailed Solution

$x = a + b t^{2} ∴ v = \frac{d x}{d t} = 0 + 2 b t$

At $t = 3 \sec$

$v = 2 \times 3 \times 3 = 18 cm / \sec (As b = 3 cm)$

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