William Tell must split the apple on top of his son's head

Chapter 28, Problem 53GP

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QUESTION:

Problem 53GP

Problem

William Tell must split the apple on top of his son's head from a distance of 27 m. When William aims directly at the apple, the arrow is horizontal. At what angle should he aim the arrow to hit the apple if the arrow travels at a speed of 35 m/s?

Questions & Answers

QUESTION:

Problem 53GP

Problem

William Tell must split the apple on top of his son's head from a distance of 27 m. When William aims directly at the apple, the arrow is horizontal. At what angle should he aim the arrow to hit the apple if the arrow travels at a speed of 35 m/s?

ANSWER:

Problem 53GP

Step-by-step solution

Step 1 of 2

Evidently, the arrow will follow a parabolic trajectory.

Speed at which arrow travels  = 35m/s

Distance between the archer arid the apple R = 27m

Let be the angle with which the arrow is shot.

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