A body starts from rest and moves along a straight line. It has uniformly accelerated motion up to time t1. During the interval t2 - t1 it moves with uniform velocity. After time t2 its motion is retarded, and it comes to rest at time t3. Draw the velocity-time graph.
Answers
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➼velocity time graph
➨Explanation:
A body starts from rest and moves along a straight line. It has uniformly accelerated motion upto time t1 During the interval t1-t2, it moves with uniform velocity. After time t2, its motion is retarded, and it comes to rest at time t3, Draw the velocity time graph.
0 - t1 velocity 0 to 200 m/s in 20 sec
acceleration = 10 m/s²
t1 - t2 velocity 200 m/s uniform velocity
acceleration = 0 m/s²
t2 - t3 velocity 200 to 0 m/s in 25 sec
retardation = 8 m/s²
Hope it's helps you ♡
Concept:
A velocity-time graph displays the direction and speed of an object's motion over a certain amount of time. Speed-time graphs are another name for velocity-time graphs.
Given:
A body initially at rest moves along a straight line. First, it uniformly accelerates till time t₁. The body moves with constant velocity for the time interval t₂ - t₁. The body decelerates after t₂ and comes to rest at time t₃.
Find:
The velocity-time graph for the body.
Solution:
A body moves in a straight line after starting at rest. Up until time t₁, its acceleration has been constant. It moves at a constant speed between t₁ and t₂. Its motion slows down after time t₂ and comes to a stop at time t₃.
The body at t = 0, the velocity of the body is 0m/s.
Between time intervals 0 - t₁ let the velocity of the body increase from 0 to 200m/s in 20 seconds and, therefore, the acceleration of the body will be 10 m/s².
Between t₁ and t₂ the body moves with uniform velocity and hence the acceleration of the body will be 0 m/s.
During the intervals, t₂ and t₃ the velocity decreases from 200 to 0 m/s in 25 seconds. So, the retardation is 8m/s².
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