Derive the expression 2
0
2
1
x V t at
by graphical method.
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Explanation:
Graph plotted with time on x−axis and velocity on y axis is called V−t graph.
V−t graph of a particle having constant acceleration a distance travelled by particle is area under (V−t) graph.
⇒x=
2
1
×t×
Δt
ΔV
=
2
1
t.a=
2
1
at
2
=x
V−t graph of a particle having a acceleration distance travelled by particle in time t.
x=V
0
t
(Area under (V−t) graph).
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