Motion Graphs
Hello, readers ! Here, various graphs for various types of motion are given. A graph is a very important tool to understand the motion of an object. With the help of a graph, you can acknowledge the nature of motion easily. Motion Graphs
Here we will study motion graphs under two categories (i) uniform motion and (ii) non-uniform motion.
Table of Contents
Click here 🖱️👉 Motion NCERT in-text Questions Solution
Uniform Motion Graphs:
(i) Position-time graph / distance-time graph / displacement-time graph:
Distance-time graph / displacement-time graph for uniform motion is straight line.
Slope of Distance-time graph represent speed.
Speed ∝ Slope of Distance-time graph i.e. greater is the slope of x-t graph, greater will be speed of body.
(ii) Velocity-time graph / speed-time graph in uniform motion:
Velocity-time graph / speed-time graph in uniform motion is straight line parallel to time axis.
Area of velocity-time graph is equal to displacement.
Area of v-t graph = area of rectangle OABC = Displacement
(iii) Acceleration-time graph in uniform motion:
Since acceleration is zero in uniform motion, we can not plot an acceleration-time graph in uniform motion.
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Non-Uniform Motion / Accelerated Motion Graphs:
(i) Position-time graph / distance-time graph / displacement-time graph:
Displacement-time graph for non-uniform motion is parabolic/curved.
Slope of Displacement-time graph represent velocity.
(ii) Velocity-time graph / speed-time graph in non-uniform motion:
Velocity-time graph in non-uniform motion is straight line.
Slope of Velocity-time graph represent acceleration.
Acceleration ∝ Slope of Velocity-time graph i.e. greater is the slope of v-t graph, greater will be acceleration of body
(iii) Acceleration-time graph in non-uniform motion:
Acceleration-time graph in non-uniform motion is straight line parallel to time axis.
Area of acceleration-time graph is equal to average velocity.
Questions and Answer
Question 1: Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downward after attaining maximum height.
Answer:
Question 2: Using following data time displacement graph for a moving object:
| Time (s) | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
| Displacement (m) | 0 | 2 | 4 | 4 | 4 | 6 | 4 | 2 | 0 |
Use this graph to find average velocity for first 4s, for next 4s and for last 6s.
Answer:
Question 3: What is the nature of the distance-time graphs for uniform and non-uniform motion of an object moving in a straight line?
Ans: Distance-time graphs for an object moving in a straight line,
- (i) in uniform motion: distance-time graph is straight line.
- (ii) in non-uniform motion: distance-time graph is curve/parabolic.
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