Question

The Lunar Roving Vehicle used in NASA's late Apollo missions reached an unofficial lunar land speed of 5.0 m/s by astronaut Eugene Cernan. If the rover was moving at this speed on a flat lunar surface and hit a small bump that projected it off the surface at an angle of 28°, how long (in s) would it be "airborne" on the Moon? (The gravitational acceleration on the Moon is one-sixth that of Earth.)

Answer 1

1. Hi guys this question of prjectile motion is very easy
2. Rover is moving at the speed of 5 m/sec and hit a small bump. Assuming that the bump was purely elastic collision and no kinetic energy of the rovers lost
3. Now, rover is projected off at the same speed but at an angle of 28° . to find the time it will take to reach back to the surface is calculated ,below

Formula for time of flight of any projectile is T=2vsin()/g"

here g" = gravity of the moon =g/6=10/6=5/3

=28° putting all the values

T = 2*5*sin(28)*3/5=1.6254