Question

prove x=v0t+1/2at2 by graphical method using a velocity time graph.

Answer 1

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).

solution