First slide

Motion in a plane

Question

A particle start from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be

Moderate

A

110 m/s
B

55 m/s
C

550 m/s
D

660 m/s

Solution

The area under acceleration-time graph gives change in velocity. As acceleration is zero at the end of 11 sec, we have
$v_{\max} = Area of ∆ OAB$
= $\frac{1}{2} \times 11 \times 10 = 55 m / s$

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