Question

The acceleration -time graph of a particle is as shown .At what time the particle acquires its initial velocity

Answer 1

Answer: at time t = 8 second.

Explanation:

Answer 2

Answer:

The particle acquires its velocity at 8 sec.

Explanation:

According to figure,

The velocity- time graph of a particle shows the change in velocity.

Let at time t₁ the particle acquire its initial velocity.

The change in velocity of particle in time t₁ is zero.

Area under the acceleration - time graph is zero

The area of Δ AOB = area of Δ BCD

$\dfrac{1}{2}\times OA\times OB=\dfrac{1}{2}\times BC\times CD$

$OB \tan\theta\times\ OB=CD\ tan\theta\times\ CD$

$(OB)^2=(CD)^2$

$OB=CD$

$4=t_{1}-4$

$t_{1}=8\ sec$

Hence, The particle acquires its velocity at 8 sec.