52. A golfer tees off on level ground, and hits the ball with an initial speed of 52 m/sec at an angle of 34° above the horizontal. Choose a coordinate system with the origin at the point where the ball is struck. a. Write parametric equations that model the path of the ball as a function of time t (in sec). b. For how long will the ball be in the air before it hits the ground? Round to the nearest hundredth of a second. c. Approximate the horizontal distance that the ball travels before it hits the ground. Round to the nearest foot.

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
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52. A golfer tees off on level ground, and hits the ball with an initial speed of 52 m/sec at an angle of 34°
above the horizontal. Choose a coordinate system with the origin at the point where the ball is struck.
a. Write parametric equations that model the path of the ball as a function of time t (in sec).
b. For how long will the ball be in the air before it hits the ground? Round to the nearest hundredth of
a second.
c. Approximate the horizontal distance that the ball travels before it hits the ground. Round to the
nearest foot.
d. When is the ball at its maximum height? Find the exact value and an approximation to the nearest
hundredth of a second.
e. What is the maximum height? Round to the nearest foot.
Transcribed Image Text:52. A golfer tees off on level ground, and hits the ball with an initial speed of 52 m/sec at an angle of 34° above the horizontal. Choose a coordinate system with the origin at the point where the ball is struck. a. Write parametric equations that model the path of the ball as a function of time t (in sec). b. For how long will the ball be in the air before it hits the ground? Round to the nearest hundredth of a second. c. Approximate the horizontal distance that the ball travels before it hits the ground. Round to the nearest foot. d. When is the ball at its maximum height? Find the exact value and an approximation to the nearest hundredth of a second. e. What is the maximum height? Round to the nearest foot.
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