First slide

The 3 equation for uniform acc

Question

A particle, starting from rest moves along x-axis for some time with constant acceleration of 2 m/s². After some time it starts moving with constant retardation of 3 m/s² and stops. If total time of travel is 20 second, its maximum velocity is

Easy

A
24 m/s
B
18 m/s
C
12 m/s
D
32 m/s

Solution

Total time of travel= 20s
Let it travel with constant acceleration 2 $m / s^{2}$ for t sec. Then it travels for 20-t sec with constant retardation 3 $m / s^{2}$
v= 2t
v- (20-t)3=0
5t=60
t=12
thus v= 24m/s

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