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Chapter 2: Q. 32 (page 60)

FIGURE EX2.32 shows the acceleration graph for a particle that starts from rest at t = 0 s. What is the particle’s velocity at t = 6 s?

Short Answer

Expert verified

The velocity of a particle at t=6sis 30 m s-1.

Step by step solution

01

Given information

The initial velocity of a particle, v0=0ms

Initial time,

02

The velocity of a particle.

The velocity of a particle between time zero and 6 s is the area under the curve from time zero to tf=6s. In this case, the curve is a triangle.

Thus, the area of a triangle is calculated as follows.

∆v=12×6s×10ms2=30ms

Now,

The velocity of a particle at tf=6sis given by

area under the acceleration curve between and

vf=0ms+30ms=30ms

Therefore, the velocity of a particle at t=6sis 30ms.

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