JEE MAIN - Physics (2021 - 24th February Morning Shift - No. 13)
If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?
_24th_February_Morning_Shift_en_13_1.png)
_24th_February_Morning_Shift_en_13_2.png)
_24th_February_Morning_Shift_en_13_3.png)
_24th_February_Morning_Shift_en_13_4.png)
_24th_February_Morning_Shift_en_13_5.png)
Explanation
_24th_February_Morning_Shift_en_13_6.png)
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
$$v = mt - c$$
$$ \Rightarrow {a_2} = {{dv} \over {dt}} = m$$
$$\therefore$$ The corresponding acceleration-time graph as shown below
_24th_February_Morning_Shift_en_13_7.png)
Hence, option (a) is correct.
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