Map Sapling Learning macmillan learning ung Jeffrey is bored, and decides to thr
ID: 1653012 • Letter: M
Question
Map Sapling Learning macmillan learning ung Jeffrey is bored, and decides to throw some things out of the window for fun. But since he is also ery curious, he decides to do so in a controlled way. Jeffrey takes a rock, his tennis ball, and one of his father's golf balls and sets them on the sill of an open window. Then he uses a flat board to carefully push them all out of the window at the same time. The 2nd story window is 14.0 feet above the ground, and all three objects hit the ground just 0.350 feet away from the base of the house at the same time, 0.933 seconds after they're dropped The rock hits with a thud and stays put, but the other two objects bounce. After another 0.699 seconds the tennis ball reaches a maximum height of 7.88 feet, while the golf ball is 11.0 feet off the ground and still rising. Both have travelled an additional 0.263 feet horizontally Calculate the magnitude of the average velocity of each object during these 1.63 seconds. Which object has the largest instantaneous velocity at the end of this time period? Number Largest Vinst? avg.rock Tie between golf and tennis balls O Rock O Golf bal O Tennis ball Number avg.golf Number avg·tennis Previous Give Up & View Solution Check Answer Next Exit HintExplanation / Answer
First we will calculate the displacement of every obect.
(a)
Displacement of rock,
Sr = sqrt (14^2 + (0.35)^2) = 14.004 ft
average velocity of rock,
|Vavg-rock| = Sr / t1 = 14.004 / 0.933
|Vavg-rock| = 15.01 ft/s
(b)
displacement of golf ball in x - direction,
Xg = 0.35 + 0.263 = 0.613 feet
ln y - direction,
Yg = 14 - 11 = 3 feet
Total displacement,
Sg = sqrt ((0.613)^2 + 3^2) = 3.061 feet
|Vavg-golf| = Sg / t = 3.061 / 1.63
|Vavg-golf| = 1.87 ft/s
(c)
displacement of tennis ball in x - direction,
Xt = 0.35 + 0.263 = 0.613 feet
ln y - direction,
Yt = 14 - 7.88 = 6.12 feet
Total displacement,
St = sqrt ((0.613)^2 + (6.12)^2) = 6.15 feet
|Vavg-tennis| = Sg / t = 6.15 / 1.63
|Vavg-tennis| = 3.77 ft/s
Rock has no instantaneus velocity.
ln tennis and golf ball....there x components are same but at 1.63 second, tennis ball do not has y component
Hence, Golf ball has largest instantaneus velocity.