A wooden block, initially at rest on the ground, is pushed by a force that increases linearly with time t. Which of the following curves best describes the acceleration of the block with time?

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Solution

Q.
A wooden block, initially at rest on the ground, is pushed by a force that increases linearly with time t. Which of the following curves best describes the acceleration of the block with time [2024]

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Ans.
(2)

Let $F = k t$

$F = m a \Rightarrow a = \frac{F}{m} = (\frac{k}{m}) t$

It means the acceleration vs. time graph will be a straight line passing through the origin.

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