A non-rotating spherical planet has mass M and radius R. A particle is fired off from the surface with a speed equal to 3/4 the escape speed. Calculate the farthest
distance it reaches (measured from the center of the planet) if it is fired off tangentially.
GPE = G*M*m*((1/R) - (1/d))
KE = ½*m*Ve²
The Attempt at a Solution
I did this problem correctly when the problem stated that the particle is fired off radially (d=R*(16/7)), but I don't know what changes when the particle is fired tangentially.