Answered: There is a formula that describes the…

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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There is a formula that describes the range of a projectile under the conditions of this animation. The formula can be written as (attached is the formula).

where R is the horizontal distance traveled, v_initial is the initial speed of the projectile (in the equation this is squared) and g is gravity (10 m/s²). sin (2 ?) is the trigonometry function sine, and you are taking sine of 2 times the angle the projectile is shot. So, if the angle is ? = 50 degrees, the formula would include a term sin (2 ?) = sin (2 x 50) = sin (100).

For the following initial angles of projection, determine the range of the projectile by applying the range formula. Take the initial speed of the projectile to be 48 m/s and assume that gravity is 10 m/s². If you do not have a scientific calculator, remember that you can use the calculator on your computer and choose to view "scientific". The trigonometry functions will become available.

Angle (degrees)	Range(m)
10
15
30
45
60
75
80

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