Question

Derive the following equations for uniformly accelerated motion by graphical method. a) Velocity -time relation b) Position - time relation 3) Position – velocity relation.

Answer 1

refer the picture

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Answer 2

Answer:

v=u+at

Explanation:

Let an object is moving with uniform acceleration.

u = initial velocity of object

v = final velocity of object

a = uniform acceleration

Let object reaches at point B after time (t) Now, from the graph

Slope = Acceleration (a)=

time

change in velocity

Change in velocity = AB = v - u

Time = AD = t

a=

t

v−u

Solving we get

v=u+at

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