Three particles move along the x-axis, each starting at t 0 = 0 s. The graph for

Question

Three particles move along the x-axis, each starting at t0 = 0 s.

The graph for A is a position-versus-time graph; Find the velocity of the particle A at t = 7.0 s. (Figure 1)

The graph for B is a velocity-versus-time graph; Find the velocity of the particle B at t = 7.0 s. (Figure 2)

The graph for C is an acceleration-versus-time graph; Find the velocity of the particle C at t = 7.0 s. Particle starts with v0x = 10 m/s at t0 = 0 s. (Figure 3)

Express your answer with the appropriate units.

(Figure 1)

(Figure 2)

(Figure 3)

Explanation / Answer

a)

Velocity of the particle at t=7 s is

V=slope of the graph from 2<t<8 s

V=(-30-30)/(8-2)=-10 m/s

b)

here velocity can be directly obtained from the graph at t=7 s

V=-20 m/s

c)

here velocity at t=7 s can be obtained from area under the curve is

V=30*(2-0)+(1/2)*30*(5-2)-(1/2)*20*(7-5)

V=85 m/s

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