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Q.

A displacement-time graph of a body moving with uniform velocity is shown in the figure. Find out its velocity and its displacement at the end of 5 seconds.


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a

10 m/s, 125m

b

5 m/s, 225m

c

3m/s, 15m

d

15m/s, 75m 

answer is C.

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Detailed Solution

Concept: The displacement-time graph demonstrates how the moving object's displacement varies with regard to time. On a displacement time graph, the object appears stationary as horizontal lines.
At the conclusion of the five seconds, we must determine the velocity and the displacement.
Looking at the distance-time graph in this case, we can see that the displacement is 15m when the time interval is 5 seconds.
We must now determine the velocity.
The pace at which the displacement changes is known as the velocity. That implies that the velocity is obtained by dividing the distance traveled by the time.
However, since there is a coordinate, the velocity is determined by the slope.
Finding the ratio of the vertical change to the horizontal change is made easier with the slope.
Therefore, the displacement is in the vertical direction, and time is in the horizontal direction.
We also keep track of the beginning displacement, initial time, and end displacement and time.
The slope expression is   Slope= verticalhorizontal
The displacement in this case is 15m.
Original displacement: 0 meters
Time remaining= 5s
Initial time = 0s
velocity=displacementtime
V= 15-05-0
V= 15/5= 3 m/s
Hence, option 3 is the correct answer.
 
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