15.Suppose a ball is thrown and the height of the ball is given by the function y(t) = -0.8t² + 50t + 2, where t is the number of seconds since the ball was thrown, and y(t) is the height of the ball in feet at that time. A. When will the ball reach its highest point? B. How high will that be? C. When will the ball hit the ground? (i.e. have a height of 0).
15.Suppose a ball is thrown and the height of the ball is given by the function y(t) = -0.8t² + 50t + 2, where t is the number of seconds since the ball was thrown, and y(t) is the height of the ball in feet at that time. A. When will the ball reach its highest point? B. How high will that be? C. When will the ball hit the ground? (i.e. have a height of 0).
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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![**Problem 15: Analyzing the Projectile Motion of a Ball**
Suppose a ball is thrown and the height of the ball is described by the function:
\[ y(t) = -0.8t^2 + 50t + 2 \]
where \( t \) is the number of seconds since the ball was thrown, and \( y(t) \) is the height of the ball in feet at that time.
**Questions:**
A. When will the ball reach its highest point?
B. How high will that be?
C. When will the ball hit the ground? (i.e., have a height of 0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7572a51f-174c-4394-a544-3ecf80015716%2F42a8235c-21be-40a1-b4d6-53cb4e119f39%2Fyad2erd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 15: Analyzing the Projectile Motion of a Ball**
Suppose a ball is thrown and the height of the ball is described by the function:
\[ y(t) = -0.8t^2 + 50t + 2 \]
where \( t \) is the number of seconds since the ball was thrown, and \( y(t) \) is the height of the ball in feet at that time.
**Questions:**
A. When will the ball reach its highest point?
B. How high will that be?
C. When will the ball hit the ground? (i.e., have a height of 0)
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