Question 67: Motion in 1D

Question

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?

Accepted Answer

From the graph for first line, the slope is negative and intercept is positive.
So, equation of line is
$$v =  - mt + c$$
$$ \Rightarrow {a_1} = {{dv} \over {dt}} =  - m$$
Similarly, for second line, the slope is positive and intercept is negative, so equation of line is
$$v = mt - c$$
$$ \Rightarrow {a_2} = {{dv} \over {dt}} = m$$
$$	herefore$$ The corresponding acceleration-time graph as shown below
Hence, option (a) is correct.

Answer

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Answer

Motion in 1D

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?

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