Question

The motion of particle of mass m is described by y =ut+1/2gt².find the force acting on the particle

Answer 1

y = ut + 1/2 gt2

dy/dt = d/dt ut + d/dt 1/2 gt2

v= u + 2gt  

dv/dt = d/dt u + d/dt 2gt

a = 0 + 2g  

a = 2g

acceleration of particle =a =2g

mass of particle = m [Given]

Force = mass * acceleration  

F = m * 2g

F = 2gm

Answer 2

HLO MATE HERE IS UR ANSWER.

We know that

y = ut + 1/2 gt^2.

Now ,

v = dy/dt = u+gt.

Acceleration , a = dv/dt =g.

Then the force is given by F = ma = mg.