The velocity-versus-time graph is shown for a particle moving along the x -axis.

Question

The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.8 mat t0 =0s

Part A:

What is the particle's position at t =1.0s ?

Part B:

What is the particle's velocity at t =1.0s ?

Part C:

What is the particle's acceleration at t =1.0s ?

Part D:

What is the particle's position at t =3.0s ?

Part E:

What is the particle's velocity at t =3.0s ?

Part F:

What is the particle's acceleration at t =3.0s ?

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

Explanation / Answer

Part A:

Particle position = x0 + v*t

Particle position = 1.8 +(4*1)

Particle position = 5.8m

Part B:

particle's velocity at t =1.0s

V = 4m/sec

Part C:

What is the particle's acceleration at t =1.0s

a = 0

Part D:

the particle's position at t =3.0s

X = X0+( 4*2 +0.5*2*1)

X = 10.8m

Part E:

the particle's velocity at t =3.0s

V = 2m/sec

Part F:

the particle's acceleration at t =3.0s

a = -4/2 = -2 m/sec2

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