Question

$\mathtt\pink{QUESTION:}$
Derive velocity time relation with the help of VT graph?

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Answer 1

⠀⠀⠀${\rm{\pink{\underline{\underline{★Solution★}}}}}$

Consider a velocity - Time graph for a uniformly accelerated body starting from rest is represented as given in the attachment.

Here,

u = velocity at time $t _{1}$

v = velocity at time $t_{ 2}$

If acceleration is represented as a ,then, acceleration is defined as the rate of change in velocity.

$\longmapsto \rm \: a = \frac{ v_{2} - v _{1} }{ t_{2} - t_{1} }$

$\longmapsto \rm a = \frac{v - u}{t}$

or,

$\longmapsto \rm v -u = at$

$\longmapsto \rm v = u + at$

Hence derived !!

Answer 2

Answer:

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