Aspaceship is projected vertically upward from the earth's surface with an initial speed of 7.51 km/s, but unfortunately does not have a great enough speed to escape earth's gravity. what maximum height does the spaceship reach (in m)? ignore air resistance.

Explanation:

Given that,

Initial speed of the spaceship, u = 7.51 km/s = 7510 m/s

At maximum height, final speed of the spaceship, v = 0

Let h is the maximum height reached by the spaceship. Using third equation of motion to find it as :

So, the maximum height reached by the spaceship is . Hence, this is the required solution.