a) where y shows feet above the ground t seconds after it is kicked. i) A soccer ball kicked up into the air is modelled by the following quadratic equation: y = 98t - 7t² ii) Find the distance above the ground after 13 seconds. Find the value(s) of t when the ball is on the ground, i.e. y = 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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a)
where y shows feet above the ground t seconds after it is kicked.
i)
A soccer ball kicked up into the air is modelled by the following quadratic equation:
y = 98t - 7t²
ii)
Find the distance above the ground after 13 seconds.
Find the value(s) of t when the ball is on the ground, i.e. y = 0.
Transcribed Image Text:a) where y shows feet above the ground t seconds after it is kicked. i) A soccer ball kicked up into the air is modelled by the following quadratic equation: y = 98t - 7t² ii) Find the distance above the ground after 13 seconds. Find the value(s) of t when the ball is on the ground, i.e. y = 0.
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iii)
Find the time when it reaches the highest vertical distance and calculate this
distance.
iv)
Graph the above equation on a pair of axes, showing all intercepts and the
coordinates of the highest point reached by the ball.
Transcribed Image Text:iii) Find the time when it reaches the highest vertical distance and calculate this distance. iv) Graph the above equation on a pair of axes, showing all intercepts and the coordinates of the highest point reached by the ball.
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