A computer-controlled ball launcher on a ledge at height h = 6 m above level ground ejects a ball at initial speed v0 = 7.7 m/s at an angle of θ1 = 35 degrees above the horizontal. The computer then commands the launcher to change its launch angle to a specific value θ2 below the horizontal, and to launch a second ball exactly 1.00 seconds after the first ball at a different speed from the first one. Assume the balls are launched from the same height, move in the same plane, and that air resistance can be ignored. The launch of the second ball is arranged such that the second ball collides with the first ball at a height h/2 above the level ground. This requires the second ball to have a specific initial speed and launch angle. What is the required launch angle, recalling that an angle below horizontal is negative?
A computer-controlled ball launcher on a ledge at height h = 6 m above level ground ejects a ball at initial speed v0 = 7.7 m/s at an angle of θ1 = 35 degrees above the horizontal. The computer then commands the launcher to change its launch angle to a specific value θ2 below the horizontal, and to launch a second ball exactly 1.00 seconds after the first ball at a different speed from the first one. Assume the balls are launched from the same height, move in the same plane, and that air resistance can be ignored. The launch of the second ball is arranged such that the second ball collides with the first ball at a height h/2 above the level ground. This requires the second ball to have a specific initial speed and launch angle. What is the required launch angle, recalling that an angle below horizontal is negative?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A computer-controlled ball launcher on a ledge at height h = 6 m above level ground ejects a ball at initial speed v0 = 7.7 m/s at an angle of θ1 = 35 degrees above the horizontal. The computer then commands the launcher to change its launch angle to a specific value θ2 below the horizontal, and to launch a second ball exactly 1.00 seconds after the first ball at a different speed from the first one. Assume the balls are launched from the same height, move in the same plane, and that air resistance can be ignored.
The launch of the second ball is arranged such that the second ball collides with the first ball at a height h/2 above the level ground. This requires the second ball to have a specific initial speed and launch angle. What is the required launch angle, recalling that an angle below horizontal is negative?
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