at the maximum height the vertical velocity is equal to 0. happens at time t where v*sin a - g*t = 0 => t = v*sin a/g the particle travels for a time t = 2*v*sin a/g and the horizontal range is equal to (2*v*sin a/g)*v*cos a the maximum height is v*s
derive an expression for the potential energy of the body.
potential energy is the energy possessed by a body by virtue of its state of rest or deformed state i.e, the energy of an object due to its position or arrangement in a system is called potential energy.
it is further classified into gravitational potential energy (gpe) and elastic potential energy (epe). gpe is by virtue of height of a body from a reference level. the gravitational potential energy of an object is the work done in raising it from the ground to a certain point against gravity.
it can be expressed as gpe = mgh (where, m is mass of the body, g is the acceleration due to gravity and h is the height of the body from the reference level)
gravitational potential energy, p.e = mgh
if the height, h of a body is considered from the ground, then the gravitational potential energy of the body, p.e = mgh
if the height of the body is raised from a height, h to the other height, h the gravitational potential energy of the body is p.e = mg(h-h)
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where is the figure