A hobbyist launches a projectile from ground level on a horizontal plain. It reaches a maximum height of 72.3 m and lands 111 m from the launch point, with no appreciable air resistance. What was the angle of launch if g = 9.80 m/s2? Hint: Such a wonderful problem. It's a golf shot type problem and you have been given the Range and the maximum Height. Write the two golf shot equations for these quantities and form a ratio of the two. The initial velocity and gravitational acceleration will divide out of the ratio. You will be left with an equation in nothing but trigonometric functions. Use these identities and you will wind up with an expression for the tangent of the launch angle: sin(20) = 2 sin 0 cos 0 sin? 0 = (sin 0)? O 67.4° O 44.8° O 22.6°
A hobbyist launches a projectile from ground level on a horizontal plain. It reaches a maximum height of 72.3 m and lands 111 m from the launch point, with no appreciable air resistance. What was the angle of launch if g = 9.80 m/s2? Hint: Such a wonderful problem. It's a golf shot type problem and you have been given the Range and the maximum Height. Write the two golf shot equations for these quantities and form a ratio of the two. The initial velocity and gravitational acceleration will divide out of the ratio. You will be left with an equation in nothing but trigonometric functions. Use these identities and you will wind up with an expression for the tangent of the launch angle: sin(20) = 2 sin 0 cos 0 sin? 0 = (sin 0)? O 67.4° O 44.8° O 22.6°
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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