Question

Derive the equations of motion, both in integral an graphical method?​

Answer 1

By using calculus

1). Acceleration is given as rate of change of velocity

a=dtdv

Now on integrating both sides

a∫0tdt=∫uvdv

On solving the above we get

v=u+at

2). Rate of the displacement is equal to velocity

v=dtds

On integrating the above equation we get

∫0sds=v∫0tdt

On substituting the value ofv=u+at

We get

s=ut+21at2

3). Distance travelled is equal to average speed time time

s=2u+vt

By using the first equation and substituting the value oft=av−u

We get

v2=u2+2as

I hope it's help you

Answer 2

Answer:

• First Equation of Motion: v = u + at. Second Equation of Motion: s = ut + 1/2(at2) Third Equation of Motion: v2 = u2 – 2as.

Explanation:

draw the graph