Your current case as an FBI investigator involves a possible assassination attem
ID: 1595586 • Letter: Y
Question
Your current case as an FBI investigator involves a possible assassination attempt. The crime scene is a tall building, about 150 m high. As a foreign official was walking into the building, a flowerpot fell from above him and nearly landed on his head. One witness, Mona, says that someone accidentally knocked the flowerpot from a twenty-fourth story window, 96 m above the ground. A second witness, Alissa, was inside the building looking out of an eighteenth-story window when she saw the flowerpot fall. She claims that the flowerpot took exactly 0.036 s to fall from the top of the window to the bottom of the window, a distance of 1 m. (She knows this because she was videotaping her pet greyhound doing tricks and the flowerpot falling past the window was filmed in the background. The top of the eighteenth-story window is 77 m above the ground. If the flowerpot fell from a height of 96 m, how many meters had it fallen when it reached the top of the second witness's window? The flowerpot when reached the top of the second witness's window had fallen up to m.Explanation / Answer
Displacement of the flowerpot till top of window = Height of 24th floor - Height of window top
=> S = 96 - 77
=> S = 19 metres
Let 'u' be the initial velocity of the flowerpot, and 't' be the time taken by the flowerpot to reach the top of the window
S = ut + (1/2)gt2, where g = acceleration due to gravity
=> 19 = ut + (1/2)gt2 ................................(1)
Displacement of the flowerpot till bottom of window = S+1 = 20m
Time taken by the flowerpot to reach the bottom of window = t + 0.036
=> 20 = u(t+0.036) + (1/2)g(t+0.036)2 ...............................(2)
Solving (1) and (2) for 'u' and 't', you can also obtain the time taken by the flowerpot to reach top of the window
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