Read and analyze the problem below then solve. Show a complete solution with illustration.   1. The range R of a projectile fired at an acute angle e with the horizontal and with an initial velocity of v meters per second is given by R=V²/g sin20 where g is the acceleration due to gravity, which is 9.81 m/sec² near the Earth's surface.   An archer targets an object 100 meters away from her position. If she positions her arrow at an angle of 32° and releases the arrow at the speed of 30 m/sec. will she hit her target? (Show your calculations.)

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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Read and analyze the problem below then solve. Show a complete solution with illustration.

 

1. The range R of a projectile fired at an acute angle e with the horizontal and with an initial velocity of v meters per second is given by

R=V²/g sin20

where g is the acceleration due to gravity, which is 9.81 m/sec² near the Earth's surface.

 

An archer targets an object 100 meters away from her position. If she positions her arrow at an angle of 32° and releases the arrow at the speed of 30 m/sec. will she hit her target? (Show your calculations.)

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