1) 45° is the ideal launch angle for projectile motion that gives the greatest horizontal range. Complementary angles will give the same range but will be less than the range for 45° Pick two complementary angles such that the sum of the angles is equal to 90°. Prove numerically the range is identical for both cases. Will the time aloft be the same for both angles? 2.) For the same two complementary angles assume the projectiles leave from a cliff and land 10.0m below the starting point. Prove the ranges in this case are not identical.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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1) 45° is the ideal launch angle for projectile motion that gives the greatest horizontal
range. Complementary angles will give the same range but will be less than the range
for 45°
●
Pick two complementary angles such that the sum of the angles is equal to
90°. Prove numerically the range is identical for both cases. Will the time aloft
be the same for both angles?
2.) For the same two complementary angles assume the projectiles leave
from a cliff and land 10.0m below the starting point. Prove the ranges in this case are
not identical.
Transcribed Image Text:1) 45° is the ideal launch angle for projectile motion that gives the greatest horizontal range. Complementary angles will give the same range but will be less than the range for 45° ● Pick two complementary angles such that the sum of the angles is equal to 90°. Prove numerically the range is identical for both cases. Will the time aloft be the same for both angles? 2.) For the same two complementary angles assume the projectiles leave from a cliff and land 10.0m below the starting point. Prove the ranges in this case are not identical.
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