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Chapter 2: Q. 4 (page 58)

FIGURE Q2.4 shows a position-versus-time graph for the motion of

objects A and B as they move along the same axis.

a. At the instant t = 1 s, is the speed of A greater than, less than,

or equal to the speed of B? Explain.

b. Do objects A and B ever have the same speed? If so, at what

time or times? Explain.

Short Answer

Expert verified

(a) The speed of particle A is less than the speed of particle B.

(b) The speed of both of the particles A and B become the same in time3s.

Step by step solution

01

Part (a) Step 1: Introduction

Two objects, A and B are moving along same axis. We have to compare the speed of the two.

02

Explanation

At the instant t=1sec, considering the position of the particles A and B by the following graph:


Clearly, at t=1s, particle B covers more distance than particle A.

Therefore, speed of B is greater than A at that time as the speed changes proportionally with distance.

03

Part (b): Step 1: Given information

The position-time graphs of particle A and B intersect at a point.

04

Explanation

The path of motion of the two particles A and B intersects at a point. So, the speed of both of the particles should be same at that instantaneous time as shown in the graph:

05

Final answer

Therefore, at timet=3s, both of the particles A and B have the same speed.

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