A body starts from rest and moves along a straight line. It is uniformly accelerated at a rate of 2 m/s' for lOs. For next 20 sec., the body moves with uniform velocity.Then a negative acceleration of 2 m/s acts on the body till the body comes to rest again. Draw velocity-time graph for entire motion.

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Solution

v = u + at = 0 + 2 $\times$ 10 = 20 m/s after 10 sec
For next 20 sec, velocity is constant = 20 m/s
Negative Acceleration = -2 m/s $^{2}$ \ till the body comes to rest.
Then v = u + at $\Rightarrow$ 0 = 20 + (-2) t
$\Rightarrow$ t = 10 sec
The graph is as shown.

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