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A projectile is launched from Earths surface at a certain
Chapter 3, Problem 3.20(choose chapter or problem)
A projectile is launched from Earths surface at a certain initial velocity at an angle above the horizontal, reaching maximum height after time tmax. Another projectile is launched with the same initial velocity and angle from the surface of the Moon, where the acceleration of gravity is one-sixth that of Earth. Neglecting air resistance (on Earth) and variations in the acceleration of gravity with height, how long does it take the projectile on the Moon to reach its maximum height? (a) tmax (b) tmax /6 (c) !6tmax (d) 36tmax (e) 6tmax
Questions & Answers
QUESTION:
A projectile is launched from Earths surface at a certain initial velocity at an angle above the horizontal, reaching maximum height after time tmax. Another projectile is launched with the same initial velocity and angle from the surface of the Moon, where the acceleration of gravity is one-sixth that of Earth. Neglecting air resistance (on Earth) and variations in the acceleration of gravity with height, how long does it take the projectile on the Moon to reach its maximum height? (a) tmax (b) tmax /6 (c) !6tmax (d) 36tmax (e) 6tmax
ANSWER:Step 1 of 3
The time of ascent for the projectile on Earth’s surface is given as,
Here, is the initial launch velocity, is the angle of projection, and is the acceleration due to gravity on Earth.