Question

The acceleration-time graph of a particle is as shown.
At what time the particle acquires its initial velocity?
(1) 12s
(2) 5 s
(3) 8 s
(4) 16 s​

Answer 1

Answer:

Given,

An Acceleration time graph,

So, the area under the velocity time graph shows the change in velocity,

Let the time t

0

the particle accuire the initial velocity,

Therefore the change in velocity of the particle in the time t is:

So, Area under the velocity time graph is zero.

Thus Area of △AOB=areaof△BCD

2

1

OA×OB=

2

1

OC×CD

OB

2

tanθ=CD

2

tanθ

(OB)2=(CD)

2

4=t

0

−4

t

0

=−8