## Chapter Chosen

Motion in Straight Line

## Book Store

Currently only available for.
CBSE Gujarat Board Haryana Board

## Previous Year Papers

Download the PDF Question Papers Free for off line practice and view the Solutions online.
Currently only available for.
Class 10 Class 12
Figure 3.23 gives the x-t plot of a particle executing one-dimensional simple harmonic motion. (You will learn about this motion in more detail in Chapter14). Give the signs of position, velocity and acceleration variables of the particle at t = 0.3 s, 1.2 s, - 1.2 s.

At t= 0.3 sec,

Negative, Negative, Positive.

At t= 1.2 sec,

Positive, Positive, Negative

At t= -1.2 sec

Negative, Positive, Positive

For simple harmonic motion (SHM) of a particle, acceleration (a) is given by,

a = – ω2x ;  ω → angular frequency       … (i)

t = 0.3 s

In this time interval, x is negative. Thus, the slope of the position-time graph will also be negative. Therefore, both position and velocity are negative.

However, using equation (i), acceleration of the particle will be positive.

t = 1.2 s

In this time interval, x is positive. Thus, the slope of the x-graph will also be positive. Therefore, both position and velocity are positive.

However, using equation (i), acceleration of the particle comes to be negative.

t = – 1.2 s

In this time interval, x is negative. Thus, the slope of the x-t plot will also be negative. Since both x and t are negative, the velocity comes to be positive.

From equation (i), it can be inferred that the acceleration of the particle will be positive.

274 Views

Can a body be always at rest in some frame?

Yes, a body is always at rest in a frame which is fixed with the body itself.
746 Views

What is rest?

When an object does not change its position with time, with respect to it's surroundings. In such a case the object is said to be at rest.
1215 Views

Is absolute rest or absolute motion possible?

Absolute rest and absolute motion is not possible because there is no point in the universe which is at rest and can be taken as point of reference. The planet Earth is in continuous motion.
1986 Views

What is motion?

When an object changes it's position with time, with respect to it's surroundings, the object is said to be in motion.
657 Views

What is the most essential thing to study the motion of a body?

The most essential thing to study the motion is reference frame. Rest and motion are relative terms. It means that an object in one situation can be in rest but in another situation, the same object will be in motion.
650 Views