A projectile is fired from the point (0, 0) with an initial velocity of vo m/s at an angle a above the horizontal. If we assume projectile after t seconds is given by the following parametric equations where g = 9.8 m/s? is the acceleration due to gra 1 x = (Vo cos(a))t y = (vo sin(a))t – 2 (a) Find the speed (in m/s) of the projectile when it hits the ground. m/s (b) Find the speed (in m/s) of the projectile at its highest point. m/s

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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A projectile is fired from the point (0, 0) with an initial velocity of vo m/s at an angle a above the horizontal. If we assume that air resistance is negligible, then the position (in meters) of the
projectile after t seconds is given by the following parametric equations where g
9.8 m/s2 is the acceleration due to gravity.
1
(Vo cos(a))t
y = (vo sin(a))t – gt?
X =
%D
(a) Find the speed (in m/s) of the projectile when it hits the ground.
m/s
(b) Find the speed (in m/s) of the projectile at its highest point.
m/s
Transcribed Image Text:A projectile is fired from the point (0, 0) with an initial velocity of vo m/s at an angle a above the horizontal. If we assume that air resistance is negligible, then the position (in meters) of the projectile after t seconds is given by the following parametric equations where g 9.8 m/s2 is the acceleration due to gravity. 1 (Vo cos(a))t y = (vo sin(a))t – gt? X = %D (a) Find the speed (in m/s) of the projectile when it hits the ground. m/s (b) Find the speed (in m/s) of the projectile at its highest point. m/s
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