An experienced snowball fighter on level ground lobs a high-arching snowball at 67° above the horizon towards their opponent. While their opponent is watching that one, they wait just long enough before throwing another at a lower angle but the same speed so that both arrive at their original height at the same time and place, double-smacking their confused opponent in the chest. If both snowballs are thrown at 16.3 m/s, how long should the person wait after the first snowball to throw the second? [Hint: Make use of this fact (which can be proved using some trig identities) to find the second launch angle: Two projectiles with the same launch speed have the same range when they are launched at angles equally above and below 45°. The figure below illustrates this for two projectiles launched 15° above and below 45° (figure credit: Khan Academy).]
An experienced snowball fighter on level ground lobs a high-arching snowball at 67° above the horizon towards their opponent. While their opponent is watching that one, they wait just long enough before throwing another at a lower angle but the same speed so that both arrive at their original height at the same time and place, double-smacking their confused opponent in the chest. If both snowballs are thrown at 16.3 m/s, how long should the person wait after the first snowball to throw the second? [Hint: Make use of this fact (which can be proved using some trig identities) to find the second launch angle: Two projectiles with the same launch speed have the same range when they are launched at angles equally above and below 45°. The figure below illustrates this for two projectiles launched 15° above and below 45° (figure credit: Khan Academy).]
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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![An experienced snowball fighter on level ground lobs a high-arching snowball at 67° above the
horizon towards their opponent. While their opponent is watching that one, they wait just long
enough before throwing another at a lower angle but the same speed so that both arrive at their
original height at the same time and place, double-smacking their confused opponent in the chest.
If both snowballs are thrown at 16.3 m/s, how long should the person wait after the first snowball to
throw the second?
[Hint: Make use of this fact (which can be proved using some trig identities) to find the second
launch angle: Two projectiles with the same launch speed have the same range when they are
launched at angles equally above and below 45°. The figure below illustrates this for two projectiles
launched 15° above and below 45° (figure credit: Khan Academy).]
t=_
30⁰
S
45
Record your numerical answer below, assuming three significant figures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29b2b324-5777-4e86-8949-1856ae23b158%2F0b936faf-eedf-4498-9dd1-6c6c2bd819fb%2Ftivbrte_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An experienced snowball fighter on level ground lobs a high-arching snowball at 67° above the
horizon towards their opponent. While their opponent is watching that one, they wait just long
enough before throwing another at a lower angle but the same speed so that both arrive at their
original height at the same time and place, double-smacking their confused opponent in the chest.
If both snowballs are thrown at 16.3 m/s, how long should the person wait after the first snowball to
throw the second?
[Hint: Make use of this fact (which can be proved using some trig identities) to find the second
launch angle: Two projectiles with the same launch speed have the same range when they are
launched at angles equally above and below 45°. The figure below illustrates this for two projectiles
launched 15° above and below 45° (figure credit: Khan Academy).]
t=_
30⁰
S
45
Record your numerical answer below, assuming three significant figures.
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