baseball is hit at 120 ft/sec from the ground at a 300 angle to the horizontal from a height of 3 feet above home plate. In parametric form we get that the trajectory of the baseball and its location at any time t is given by (x(t), y(t)) where x(t) = 120(cos(30°))· t y(t) = -16t2 + 120(sin(30°)) · t + 3 a. Find dx/dt and dy/dt b. Find the slope of the tangent line to the curve at time t = 2 seconds. c. Show how to find the maximum height of the baseball using parts a and b.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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A baseball is hit at 120 ft/sec from the ground at a 300 angle to the horizontal from a height of 3 feet above home plate. In parametric form we get that the trajectory of the baseball and its location at any time t is given by (x(t), y(t)) where

x(t) = 120(cos(30°))· t
y(t) = -16t2 + 120(sin(30°)) · t + 3

a. Find dx/dt and dy/dt

b. Find the slope of the tangent line to the curve at time t = 2 seconds.

c. Show how to find the maximum height of the baseball using parts a and b.

 

 

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