Draw a velocity-time graph for a body mOVing with an initial velocity u and uniform acceleration a. Use this graph to find the distance travelled by the body in time t.
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Draw a velocity-time graph for a body mOVing with an initial velocity u and uniform acceleration a. Use this graph to find the distance travelled by the body in time t.
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Explanation:
Let
′
u
′
be the initial velocity
′
v
′
be the velocity at time
′
t
′
and
′
a
′
be the acceleration.
The distance travelled by the body in
′
t
′
second = area enclosed between the velocity-time graph and x−axis
Or
Distance traveled by the body in
′
t
′
seconds = area of trapezium OABD
=1/2×(sum of parallel sides)×height
=1/2×(u+v)×t
=
2
(u+v)t
=
2
(u+at)t
=u+
2
1
at
2
Answer:
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