posted by Jem .
A descent vehicle landing on the moon has
a vertical velocity toward the surface of the moon of 35.4 m/s. At the same time, it has a horizontal velocity of 57.2 m/s.
At what speed does the vehicle move along
its descent path?
At what angle with the vertical is its path?
For the speed, use the Pythagorean theorem. You have been given two perpendicular components and you want the hypotenuse.
The angle with the vertical is
arctan 57.2/35.4= 58 degrees