(Figure 1) shows the velocity graph of a particle moving along the x-axis. Its i

Question

(Figure 1) shows the velocity graph of a particle moving along the x-axis. Its initial position is x_0 = 2.0 m at t_0 = 0 s. You may want to review At t = 3.0 s, what is the particle's position? Express your answer to two significant figures and include the appropriate units. x = At t = 3.0 s, what is the particle's velocity? Express your answer to two significant figures and include the appropriate units. upsilon_z = At t = 3.0 s, what is the particle's acceleration? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

v = 6 - 2t

dx/dt = v

dx = v dt = (6 - 2t)dt

Intergrating ,

x = 6t - t^2 + c

at t = 0, x = 2 m

2 = c

So x = 6t - t^2 + 2

x = 6(3) - 3^2 + 2

x = 11 m ........Ans(A)

(B) v = 6 - 2(3) =0

(C) a = dv/dt = - 2 m/s^2

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