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प्रश्न
How does the slope of a speed-time graph give the acceleration of a body moving along a straight line?
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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.
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संबंधित प्रश्न
Three speed-time graphs are given below :
Which graph represents the case of:
(i) a cricket ball thrown vertically upwards and returning to the hands of the thrower ?
(ii) a trolley decelerating to a constant speed and then accelerating uniformly ?
Study the speed-time graph of a car given alongside and answer the following questions:
(i) What type of motion is represented by OA ?
(ii) What type of motion is represented by AB ?
(iii) What type of motion is represented by BC ?
(iv) What is the acceleration of car from O to A ?
(v)What is the acceleration of car from A to B ?
(vi) What is the retardation of car from B to C ?
What type of motion is represented by the following graph ?
A car of mass 1000 kg is moving with a velocity of 10 m s−1. If the velocity-time graph for this car is a horizontal line parallel to the time axis, then the velocity of car at the end of 25 s will be :
Draw velocity – time graph for the following situation:
When a body, is moving with uniform velocity.
Diagram shows a velocity – time graph for a car starting from rest. The graph has three sections AB, BC and CD.
From a study of this graph, state how the distance travelled in any section is determined.
Diagram shows a velocity – time graph for a car starting from rest. The graph has three sections AB, BC, and CD.
In which section, car has a zero acceleration?
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 |
(i) In speed time graph uniform motion is given by a straight line parallel to x axis so figure (a) denotes the uniform motion.
(ii) In speed time graph motion with increasing speed is shown by straight line with positive slope so figure (c) denotes the motion with speed increasing.
(iii) In speed time graph motion with decreasing speed is shown by straight line with negative slope so figure (b) denotes the motion with speed decreasing.
(iv) In speed time graph motion with oscillating speed is shown by zigzag line so figure {d) denotes the motion with speed oscillating.
The area of the velocity-time graph gives the displacement of the body.
