The figure below shows the velocity graph of a particle moving along the x -axis

Question

The figure below shows the velocity graph of a particle moving along the x-axis. Its initial position is x0 = 2.0 m at t0 = 0 s.

Part A

At t = 3.0 s, what is the particle's position?

Express your answer to two significant figures and include the appropriate units.

Part B

At t = 3.0 s, what is the particle's velocity?

Express your answer to two significant figures and include the appropriate units.

0 m/s

Part C

At t = 3.0 s, what is the particle's acceleration?

Express your answer to two significant figures and include the appropriate units.

0 m/s

Explanation / Answer

here intial position xo = 2 m at t = 0 sec

(a) at t = 3 sec from the velocity graph the particle velocity is zero . so the paricle will not move . it remains constant in initial condition . so at t = 3 sec the partcle position is 2 m Ans

(b) at t = 3 sec from the velocity graph line touch on the horizontal axis . so the paricle velocity will zero Ans

(c) at t = 3 sec the particle acceleration is

a = change in velocity / time intervel

a = ( v2 - v1 ) / ( t2 - t1 )

a = (6 - 0) / (3 - 0)

a = 2 m/s2   Ans

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