question_answer

The motion of a particle of mass m is described by \[y=ut+1/2g{{t}^{2}}\]Find the force acting on the particle.

Answer:

                                 We have \[y=ut+1/2g{{t}^{2}}\] Velocity,          \[\upsilon =\frac{dy}{dt}=u+gt\] Acceleration,       \[a=\frac{d\upsilon }{dt}=g\] Force,            \[F=ma=mg\] Thus the given equation describes the motion of a particle under acceleration due to gravity and \[y\] is the position coordinate in the direction of\[g\].