Study the given graph and answer the following questions

Asked by admin @ 20/08/2021 in Physics viewed by 375 People

Study the given graph and answer the following questions from it:

(1) which part of the graph shows accelerated motion. Calculate the acceleration .(2)which part of the graph shows retarded motion. Calculate the retardation .(3)Calculate the distance of the body in first 4 seconds of the journey, graphically.

Answered by admin @ 20/08/2021

Given graph is a VELOCITY-TIME graph of an object.

In VT graph:
1. The slope of the line at a particular time gives the acceleration of the object at that time.

2. Area under the graph gives the displacement of the object.
_______________________________

Coming to the questions:

1. Part AB is accelerated motion as the slope of the graph(which gives the acceleration) is positive.

acceleration = slope

$slope = \frac{(4 - 0) \: m/s}{(4 - 0)s} = \frac{4}{4} = 1 \ m/s^2$

So acceleration = 1 m/s^2

2.Part CD is retarded motion as the slope of the graph(which gives the acceleration) is negative.

$slope = \frac{(0 - 4) \: m/s}{(14 - 10)s} = \frac{ - 4}{4} = - 1 \ m/s^2$

So acceleration = -1 m/s^2

Thus retardation is 1 m/s^2

3.
distance of the body in first 4 seconds = area under graph from t=0 to t=4s

area under graph from t=0 to t=4s = area of ∆ABE = 1/2 × 4 × 4 = 8m

Thus distance of the body in first 4 seconds is 8m

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