Given data:
The mass of planet is M.
The radius of planet is R.
The initial velocity of projectile is v₀=0.762ve.
The amount of kinetic and potential energy should be equal according to conservation of energy,

The escape velocity is given by,
![v_e=\sqrt[]{(2GR)/(M)}](https://img.qammunity.org/2023/formulas/physics/college/ebpx86t0j3mzls7951rf9tznskwksf8o9m.png)
Here, G is the universal gravitational acceleration.
The time taken to reach the maximum height will be,

The maximum height reached by the projectile is given by,
