The velocity of body moving along the x-axis is given by $v = 4 t - 2.5 t^{2}$ . Its acceleration after $3 s$ is:

1.5 c m / s^{2}

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- 11 c m / s^{2}

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4 c m / s^{2}

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- 5 c m / s^{2}

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Solution

The correct option is B $- 11 c m / s^{2}$
$\to a = \frac{d \to v}{d t}$
$\to a = \frac{d}{d t} (4 t - 2.5 t^{2}) = 4 - 2 \times 2.5 t$
$\to a |_{a + t} | = 4 - 5 (3) = - 11 c m / s^{2}$

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