If a projectile is fired with an initial velocity of vo meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x = (v₁ cos(a))t y = (v₁ sin(a))t - gt² where g is the acceleration due to gravity (9.8 m/s2). (Round your answers to the nearest whole number.) (a) If a gun is fired with a = 30° and v₁ = 700 m/s. When will the bullet hit the ground? S How far from the gun will it hit the ground? m What is the maximum height reached by the bullet? m (b) Find the equation of the parabolic path by eliminating the parameter.
If a projectile is fired with an initial velocity of vo meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x = (v₁ cos(a))t y = (v₁ sin(a))t - gt² where g is the acceleration due to gravity (9.8 m/s2). (Round your answers to the nearest whole number.) (a) If a gun is fired with a = 30° and v₁ = 700 m/s. When will the bullet hit the ground? S How far from the gun will it hit the ground? m What is the maximum height reached by the bullet? m (b) Find the equation of the parabolic path by eliminating the parameter.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:If a projectile is fired with an initial velocity of vo meters per second at an angle a above the horizontal and air resistance is
assumed to be negligible, then its position after t seconds is given by the parametric equations
x = (v₁cos(α))t_y= (v₁ sin(a))t – 1/2gt²
where g is the acceleration due to gravity (9.8 m/s2). (Round your answers to the nearest whole number.)
(a) If a gun is fired with a = 30° and Vo = 700 m/s. When will the bullet hit the ground?
S
How far from the gun will it hit the ground?
m
What is the maximum height reached by the bullet?
m
(b) Find the equation of the parabolic path by eliminating the parameter.
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