A baseball player stands 5 meters from home plate and watches a pitch fly by. In the diagram, x is the distance from the ball to home plate and O is the angle indicating the direction of the player's gaze. Find the rate O' at which his eyes must move to watch a fastball with x '(t) =-40 m/s as it crosses home plate at x= 0. Plate Player O' = rad/s.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Calculus 1, optimization

A baseball player stands 5 meters from home plate and watches a pitch
fly by. In the diagram, x is the distance from the ball to home plate and
O is the angle indicating the direction of the player's gaze. Find the rate
O' at which his eyes must move to watch a fastball with x '(t) = -40 m/s
Plate
as it crosses home plate at x = 0.
Player
O'
rad/s.
Transcribed Image Text:A baseball player stands 5 meters from home plate and watches a pitch fly by. In the diagram, x is the distance from the ball to home plate and O is the angle indicating the direction of the player's gaze. Find the rate O' at which his eyes must move to watch a fastball with x '(t) = -40 m/s Plate as it crosses home plate at x = 0. Player O' rad/s.
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