Question

Derive the following equations of motion graphically-

1) v = u + at

2) s = ut + 1/2at2

Answer 1

Explanation:

1. v -u /t =a

a =v -u /t

at =v -u

v -u =at

v =u + at

2. To find displacement we will find area under the curve.

Displacement = area under the curve

Area of triangle and Area of rectangle

1/2 bh +lb

1/2t (v - u) + tu

ut + 1/2 t(v - u) t /t (multiplying and dividing by t)

ut + 1/2at square