An arrow has an initial launch speed of 39 m/s If it must strike at a target 28 m away At the same angle what must the projection angle be?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 15P
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An arrow has an initial launch speed of 39 m/s If it must strike at a target 28 m away At the same angle what must the projection angle be?

Expert Solution
Step 1

Given data

  • The initial speed is given as u = 39 m/s.
  • The distance of the target from the striking point is given as R = 28 m.

 

The mathematical expression to calculate horizontal range in projectile motion is calculated as,

R=u2sin2θg

Here, g is the gravitational acceleration and θ is the projection angle.

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