The Baseball A baseball is thrown horizontally at an initial speed of 18.5 m/s from a platform that is 24.4...

Question

Problem 1: The Baseball
A baseball is thrown horizontally at an initial speed of 18.5 m/s from a platform that is 24.4 m above the ground.
Determine the baseball's:
a) Total air time
b) Maximum height
c) Horizontal range
Problem 2: The Cliff
A rock is launched horizontally at an initial speed of 12.8 m/s from the edge of a cliff that is 15.0 m above the ground.
Determine the rock's:
a) Total air time
b) Maximum height
c) Horizontal range
Problem 3: The Soccer Ball
A soccer ball is kicked horizontally at an initial speed of 22.0 m/s from an elevated field that is 5.5 m above the ground.
Determine the soccer ball's:
a) Total air time
b) Maximum height
c) Horizontal range

SnapAndSolve AI · Accepted Answer

Problem 1: The Baseball Total air time: Use the formula for free fall: t = sqrt(2h/g), where h = 24.4 m and g = 9.8 m/s². t = sqrt(2 * 24.4 / 9.8) ≈ 2.23 s. Maximum height: The maximum height is the initial height, 24.4 m, since it is thrown horizontally. Horizontal range: Use range = v * t, where v = 18.5 m/s. Range = 18.5 * 2.23 ≈ 41.26 m. Problem 2: The Cliff Total air time: t = sqrt(2 * 15.0 / 9.8) ≈ 1.75 s. Maximum height: The maximum height is the initial height, 15.0 m. Horizontal range: Range = 12.8 * 1.75 ≈ 22.4 m. Problem 3: The Soccer Ball Total air time: t = sqrt(2 * 5.5 / 9.8) ≈ 1.06 s. Maximum height: The maximum height is the initial height, 5.5 m. Horizontal range: Range = 22.0 * 1.06 ≈ 23.32 m.

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The Baseball A baseball is thrown horizontally at an initial speed of 18.5 m/s from a platform that is 24.4...

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