bali Is thrown directly downvard with anal speed ol Use \"g\" for the accelerati

Question

bali Is thrown directly downvard with anal speed ol Use "g" for the acceleration. It is always given and its directior and speed just before hitting the ground. 8. A hot air balloonist rising vertically at a constant velocity "v,", releases a sandbag at the instant the sandbag is "h" meters above the ground. Given [vb, h] Determine: a. The time for the sandbag to hit the ground. b. The speed of the sandbag just before hitting the ground. c. The maximum height the sandbag attains above the earth. Ans. H h+(vb/ 2 g) 9. A rock is thrown nearly vertically upward from the edge of a tall building of height "H". It just misses the edge of the building on the way down and strikes the ground "T" seconds after being thrown. Given [H, T], Determine: a. The initial velocity of the rock. b. The maximum height it reaches above its starting point. c. The time to reach its maximum height. 10. A flowerpot falls off a windowsill and falls past a window below. A person inside the building notices that i takes "T" seconds to go from the top to the bottom of the window. The window is "h" meters high. Given [h, T], Determine how far above the window is the windowsill

Explanation / Answer

9) By second equation of motion

- H = u*T - 0.5gT^2

initial velocity u = [ 0.5gT^2 - H] /T

B) maximum height h = u^2/2g

= [0.5gT^2 - H]^2 /(2gT^2)

C) t = u/g = (0.5gT^2 - H) /(gT) = 0.5T - H/(gT)

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