Experiments on various alien planets, each with its own different g value (accel

Question

Experiments on various alien planets, each with its own different g value (acceleration due to gravity). We assume no air resistance for each example.

a) On a planet #1, you drop a stone from rest, 80 m above the ground, and the stone hits the ground 9.0 seconds later. What is the value of g for planet #1 (answer in m/s2)

b) On planet #2, you launch a projectile straight up from the ground at a speed of 30 m/s. The projectile reaches a maximum height of 261.0 m before falling back to the ground. What is the value of g for planet #2? (answer in m/s2)

c) On planet #3, you fire a projectile horixontally from the edge of a vertical cliff 80m above the ground, with an initial speed of 73.0 m/s. The projectile lands 786.0 m away from the base of the cliff. What is the value of g for planet #3? (answer in m/s2)

d) On planet #4, You fire a projectile from the ground at an initial speed of 40 m/s at an angle of 30 degrees above the horizontal. The projectile lands 152.0 m away from the launch point. what is the value of g for planet #4? (answer in m/s2)

e) On plane #5, a stone dropeed from a height of 200 m above the ground will hit the ground at a speed of 63.0 m/s. What is the value of g for planet #5 (answer in m/s2)

Explanation / Answer

a) value of g = 2 * 80/81

                      = 1.975   m/sec2

b) value of g = 302/(2*261)

                     = 1.724 m/sec2

c) value of g = 2 * 80/10.762

                             =   1.382 m/sec2

d)   value of g = 40 * 40 * sin 60/152

                       = 9.11 m/sec2

e) value of g = ( 63 *63)/(2 *200)

                         = 9.922 m/sec2

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