Question

write the equations of motion if the body is moving vertically downwards​

Answer 1

Welcome dear,

# Newton's kinematics equations are as follows -

(1) v = u + at

(2) s = ut + 1/2 at^2

(3) v^2 = u^2 + 2as

◆ Kinematic equations for body moving vertically downwards -

Here,

Acceleration a = g

Displacement s = h,

Initial velocity u = u

(1) First kinematics eqn -

v = u + gt

(2) Second kinematics eqn -

h = ut + 1/2 gt^2

(3) Third kinematics eqn -

v^2 = u^2 + 2gh

Hope this is helpful...

Answer 2

Equation of motions for bodies under gravity :

1. V=u+gt -------1

2.s=ut+1/2at²----------2

3.v²-u²=2as----------3

Equations of motion for a particle Falling vertically :

Let us consider an object falling from height with initial velocity u=0 m/s.

The velocity continuously increases as it falls through a height h.

The direction of g and the direction of motion of body are downwards.

Therefore g is taken as positive.

The above equations of motion can be written as :

V=gt-------------4

h=1/2gt²---------5

v²=2gh-------------6