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1st Equation of Motion

The displacem...

Question

The displacement is given by $X = 2 t^{2} + t + 5$ m. The acceleration at $t = 2$ s is :

A

4 m / s^{2}

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B

8 m / s^{2}

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C

10 m / s^{2}

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D

15 m / s^{2}

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Solution

The correct option is B $4 m / s^{2}$
$a = \frac{d^{2} x}{d t^{2}} = \frac{d^{2}}{d t^{2}} (2 t^{2} + t + 5) = \frac{d}{d t} (4 t + 1) = 4 m / s^{2}$

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