Study the given graph and find the distance covered by the object between A to D.
67.5 m
76.5 m
46 m
46m/s
Answers
Answer:
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Explanation:
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^2slope=
(4−0)s
(4−0)m/s
=
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^2slope=
(14−10)s
(0−4)m/s
=
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
Answer:
s
d=s*t
so area covered by graph will be the distance