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Exploration of Mars is popular this year in Science news and FIRST Lego League, so . . .
The height an object at rest needs to be on Mars to achieve 10 ft/sec velocity SOLELY due to Mars gravity is 4 feet. This is the width of the plywood sheets in the BOM. So a platform 4 feet high, terraced on one side and on Mars would satisfy both the velocity tip and the "Stairway to Heaven" tip. Just something to think about. ![]() 1) Lyrics from "Stairway to Heaven" 2) Vmax = 10 ft/sec, but the clue does not say Vmax is on Earth. Acceleration on Mars is 3.73 meters/sec/sec, or 12.23 ft/sec/sec. Velocity(f) = velocity(o) + [acceleration(g) x time] Velocity(f) = final velocity = 10 ft/sec (from clue) Velocity(o) = initial velocity = 0 ft/sec (body at rest) Acceleration(g) = Mars gravity = 12.23 ft/sec/sec Time = 0.82 seconds To determine the height an object would need to be to achieve this velocity, you would use the distance equation: X(f) = X(o) + [V(o)t] + 1/2[att] X(f) = final distance X(o) = initial distance = 0 (starting point) V(o) = initial velocity = 0 ft/sec t = time = 0.82 seconds a = Mars gravity = 12.23 ft/sec tt = time squared = 0.6724 X(f) = 4 feet (approximately) Last edited by Coco the Monkey : 07-01-2004 at 14:59. |
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