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a-t Graph

A particle st...

Question

A particle starts from rest at $t = 0$ and moves on a straight line with acceleration as shown graphically. The speed will be minimum at _____.

A

1 s e c

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B

2 s e c

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C

3 s e c

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D

4 s e c

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Solution

The correct option is D $4 s e c$
$u_{0} = 0$
$a = - 7$
$t = 2$
$v_{2} = u_{0} + a t = - 14 m / s$
$u_{2} = - 14$
Now from $t = 2$ to $t = 4$ we have
$a = 7$
$t = 2$
$v_{4} = - 14 + 7 \times 2 = 0$
Thus the minimum speed is at $t = 4$

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