**50. In the annual battle of the dorms, students gather on the roofs of Jackson and Waltwn dorms to launch water balloons at each other with slingshots. The horizontal distance between the buildings is 35.0 m, and the heights of the Jackson and Walton buildings are, respectively, 15.0 m and 22.0 m. Ignore air resistance. (a) The first balloon launched by the Jackson team hits Walton dorm 2.0 s after launch, striking it halfway be- tween the ground and the roof. Find the direction of the balloon's initial velocity. Give your answer as an angle measured above the horizontal. (b) A second balloon launched at the same angle hits the edge of Walton's roof. Find the initial speed of this second balloon.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**50. In the annual battle of the dorms, students gather on the roofs of
Jackson and Waltwn dorms to launch water balloons at each other with
slingshots. The horizontal distance between the buildings is 35.0 m, and
the heights of the Jackson and Walton buildings are, respectively, 15.0 m
and 22.0 m. Ignore air resistance. (a) The first balloon launched by the
Jackson team hits Walton dorm 2.0 s after launch, striking it halfway be-
tween the ground and the roof. Find the direction of the balloon's initial
velocity. Give your answer as an angle measured above the horizontal.
(b) A second balloon launched at the same angle hits the edge of Walton's
roof. Find the initial speed of this second balloon.
Transcribed Image Text:**50. In the annual battle of the dorms, students gather on the roofs of Jackson and Waltwn dorms to launch water balloons at each other with slingshots. The horizontal distance between the buildings is 35.0 m, and the heights of the Jackson and Walton buildings are, respectively, 15.0 m and 22.0 m. Ignore air resistance. (a) The first balloon launched by the Jackson team hits Walton dorm 2.0 s after launch, striking it halfway be- tween the ground and the roof. Find the direction of the balloon's initial velocity. Give your answer as an angle measured above the horizontal. (b) A second balloon launched at the same angle hits the edge of Walton's roof. Find the initial speed of this second balloon.
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