Question

The displacement - time graph for the body at rest is

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Step 1: definition of the used terms

Displacement:

Displacement is a vector quantity that is defined as the shortest distance between the starting and finishing point

Rest:

The body is said to be at rest if the position of the object does not change with respect to time.

Step 2: Explanation for the correct answer

a)

1. If the body is at rest, then the displacement will be constant.
2. The value of the displacement will not change with respect to time.
3. This can be calculated using multiple positions of the object as a reference point.
4. Hence displacement -time graph will be a straight line that is parallel to the axis of time ie; the X-axis.
5. The graph shown in (a)satisfies all the conditions.

Step 3:Explanation for the incorrect options

b)

1. The graph in option (b) shows that the velocity of the object increases with time uniformly.
2. ie; If the object is moving in constant acceleration.
3. So, the object is in motion.

c)

1. The graph in option (c) shows that the object is already displaced to some point when time t=0s.
2. As time increases the displacement of the body changes linearly with time.
3. So, the object is in motion.

d)

1. The graph in (d) shows that for some instant of time the body is not displaced. after some time T.
2. the body starts displacing with an increase in time.
3. So, the object is in motion.

Hence,

The displacement -time graph for the object at rest is given in option (a).