KinematicsHard

Question

The acceleration - time graph of a particle moving along a straight line is as shown in figure. At what time particle acquires its initial velocity ?
   

Options

A.12
B.5 sec 
C.8 sec
D.16

Solution

Upward area of a - t graph gives the change in velocity = 20 m/s. To acquire initial velocity, it again has to change by same amount in negative direction. 
 Slope of curve = -10/4 = -2.5
   
∴ time = = 4 sec
Total time = 4 + 4 = 8 sec

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