Question

One dimensional motion

Answer 1

A particle is moving in a field of Earth's central force \[\vec F=-\gamma \frac{Mm}{r^2} \vec j \] where M is mass of the Earth, m is mass of a particle, gamma is constant. Differential equation of motion is \[m \ddot r=- \gamma \frac{Mm}{r^2}\]Initial conditions are \[r(0)=0, \dot r(0)=V_0\] How to find a velocity in function of time?

Answer 2

correction: r(o)=R