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Quantitative Aptitude

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A ball is thr...

Question

A ball is thrown from the ground such that its height $h$ varies with time as $h (t) = 16 t^{2} + 128 t$ . What is the height of the ball after $5$ seconds?

A

0

feet

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B

8

feet

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C

1040

feet

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D

480

feet

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Solution

The correct option is C $1040$ feet
$h (t) = 16 t^{2} + 128 t$
$t = 5$ seconds $\Rightarrow h (5) = 16 (5)^{2} + 128 (5)$
$h (5) = 400 + 640 = 1040$ feet

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