Advertisements
Advertisements
प्रश्न
How does the slope of a speed-time graph give the acceleration of a body moving along a straight line?
Advertisements
उत्तर
Slope of a graph is given as rate of change of y coordinates to the x coordinate. In speed time graph speed is on the y axis and time is on the x axis. And we define acceleration as rate of change of speed with respect to time. So slope of a speed time graph gives acceleration.
APPEARS IN
संबंधित प्रश्न
Draw a velocity-time graph to show the following motion :
A car accelerates uniformly from rest for 5 s ; then it travels at a steady’ velocity for 5 s.
Given alongside is the velocity-time graph for a moving body :
Find :
(i) Velocity of the body at point C.
(ii) Acceleration acting on the body between A and B.
(iii) Acceleration acting on the body between B and C.

The speed-time graph of an ascending passenger lift is given alongside. What is the acceleration of the lift:
(1) during the first two seconds ?
(2) between second and tenth second ?
(3) during the last two seconds ?
What type of motion is represented by the following graph ?

A train starting from rest picks up a speed of 20 ms−1 in 200 s. It continues to move at the same rate for the next 500 s and is then brought to rest in another 100 s.
- Plot a speed-time graph.
- From graph calculate
(a) uniform rate of acceleration
(b) uniform rate of retardation
(c) total distance covered before stopping
(d) average speed.
Draw the following graph:
Distance versus time for a body at rest.
Given below are the speed -time graphs. Match them with their corresponding motions :
![]() |
(a) Uniformity retared motion |
![]() |
(b) Non-uniformity acceleration |
![]() |
(c) Non-uniform motion |
![]() |
(d) uniform motion |
Figure shows the distance-time graph of three students A, B and C. On the basis of the graph, answer the following :
How far did B travel between the time he passed C and A?
Saphira moves at a constant speed in the same direction. Rephrase the same sentence in fewer words using concepts related to motion.
The given graph shows the variation of velocity (v) with position (x) for a particle moving along a straight line

Which of the following graph shows the variation of acceleration (a) with position (x)?




