Motion in a Straight Line
A body is said to be in motion if it changes its position with respect to time.
Types of Rectilinear/Linear Motion
The Rectilinear Motion or linear motion can be of two types:
- Non-Uniform linear motion with non-zero acceleration or variable velocity
- Uniform linear motion with zero acceleration or constant velocity
The simplest type of one-dimensional motion is Linear motion. As per Newton’s first law of motion, an object will either be at rest or continue to move in a straight line with a uniform velocity unless and until an external force is applied to it.
Linear motion is often mistaken for general motion. Linear motion is a one-dimensional motion, but in general, the motion has both magnitude and direction, i.e. an object’s position and velocity are described in vector quantities.
Uniform Motion in a Straight Line
A body is said to be in a uniform motion if it travels in a straight line covering equal distances in equal intervals of time. A body is said to have uniform acceleration if the rate of change of its velocity remains constant.
The ball covers equal distances in equal intervals of time
Example:
If a car travels at a speed of 60 km/hour, then it will cover a distance of 1 km/minute. In this sense, the motion of car acceleration is uniform.
Non-uniform Motion in a Straight Line
A body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. While in movement, the rate of change of its velocity changes at different points in time.
Example:
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A boy is kicking a football. It might cover 4 meters in the first attempt, 6 meters in the second change, 9 meters in the third attempt and so on as per the velocity exerted by the boy.
Path Length
The path length is the total length of the path that has to be traversed by the object.
Displacement
Displacement is the change in the position of a body. The magnitude of displacement between the same points is proportional to the path length.
Uniform Motion
When the displacement of an object is equal in equal time intervals, the motion is said to be uniform, else it is referred to as non-uniform.
Average Speed
Average speed is referred to the ratio between the total path length traversed to the time taken.
Instantaneous Velocity
It is the velocity when the limit of the average velocity has an indefinitely smaller interval of time.
Average Acceleration
It is the change in velocity corresponding to the time interval within which the change has accelerated.
Motion in a Straight Line Formulas
Following are the formulas of motion in a straight line:
v =u + at |
s=ut+12at2 |
v2 = u2 + 2as |
Frequently Asked Questions on CBSE Class 11 Physics Notes Chapter Motion in a Straight Line
Q1
What is the difference between 1D and 2D motion?
1D motion means motion in One dimension. That is, the body moves only on one axis, either x, y or Z. Or simply, it moves only linearly. In contrast, 2D motion involves motion which is defined as the combination of two axes.
Q2
What is non-uniform motion?
Non-uniform motion is the motion of an object wherein the object moves at different speeds and does not cover the same distance at equal time intervals.
Q3
What is acceleration?
The rate at which velocity changes with time, in terms of both speed and direction, is called acceleration.