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A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8 m/sec4, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The range of the projectile is f(e) = = 25,510 sin 90 meters. 90 sin (a) Find the range with 0 = 10. Round your answer to the nearest whole number. Range = i meters eTextbook and Media (b) Find a linear function of 0that approximates the range for angles near 10°. Specifically, fill in the missing numbers below for the local linearization of f at e = 10°. Round your answers to the nearest whole number. f(0) i - (0 - 10) meters eTextbook and Media (c) Find (1) the range and (Ili) its approximation from part (b) for 11". Round your answers to the nearest whole number. (i) Range meters. (ii) Approximate Range meters.

A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8 m/sec4, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The range of the projectile is f(e) = = 25,510 sin 90 meters. 90 sin (a) Find the range with 0 = 10. Round your answer to the nearest whole number. Range = i meters eTextbook and Media (b) Find a linear function of 0that approximates the range for angles near 10°. Specifically, fill in the missing numbers below for the local linearization of f at e = 10°. Round your answers to the nearest whole number. f(0) i - (0 - 10) meters eTextbook and Media (c) Find (1) the range and (Ili) its approximation from part (b) for 11". Round your answers to the nearest whole number. (i) Range meters. (ii) Approximate Range meters.

College Physics
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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A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8 m/sec4, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The range of the projectile is = 25,510 sin 90 meters. 90 f(e) = sin (a) Find the range with 0 = 10". Round your answer to the nearest whole number. Range = i meters eTextbook and Media (b) Find a linear function of 0that approximates the range for angles near 10°. Specifically, fill in the missing numbers below for the local linearization of f at e = 10. Round your answers to the nearest whole number. f(e) i i - (0 – 10) meters eTextbook and Media (c) Find (1) the range and (ii) its approximation from part (b) for 11". Round your answers to the nearest whole number. (i) Range i meters. (ii) Approximate Range meters.
Transcribed Image Text:A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8 m/sec4, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The range of the projectile is = 25,510 sin 90 meters. 90 f(e) = sin (a) Find the range with 0 = 10". Round your answer to the nearest whole number. Range = i meters eTextbook and Media (b) Find a linear function of 0that approximates the range for angles near 10°. Specifically, fill in the missing numbers below for the local linearization of f at e = 10. Round your answers to the nearest whole number. f(e) i i - (0 – 10) meters eTextbook and Media (c) Find (1) the range and (ii) its approximation from part (b) for 11". Round your answers to the nearest whole number. (i) Range i meters. (ii) Approximate Range meters.
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