The science department on planet Zoplik created a catapult to launch objects off of the roof of a 45 ft bldg (at time = 0). The launched object followed the path of a quadratic function reaching a max height of 195 feet after 5 seconds. a) On your paper, draw a picture showing the path of the object, and label the two given points. b) Write an equation in vertex form, f(t) = a(t – h)' + k for the height of the object, f, after t seconds. f(t) = c) The science department on planet Pelmid also built a catapult, and they determined their equation for the height of the object after t seconds was f(t) - 7(t – 4) + 294. How long does it take for the - object to hit the ground? Round to 2 decimal places. seconds
The science department on planet Zoplik created a catapult to launch objects off of the roof of a 45 ft bldg (at time = 0). The launched object followed the path of a quadratic function reaching a max height of 195 feet after 5 seconds. a) On your paper, draw a picture showing the path of the object, and label the two given points. b) Write an equation in vertex form, f(t) = a(t – h)' + k for the height of the object, f, after t seconds. f(t) = c) The science department on planet Pelmid also built a catapult, and they determined their equation for the height of the object after t seconds was f(t) - 7(t – 4) + 294. How long does it take for the - object to hit the ground? Round to 2 decimal places. seconds
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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Question
![The science department on planet Zoplik created a catapult
to launch objects off of the roof of a 45 ft bldg (at time = 0).
The launched object followed the path of a quadratic
function reaching a max height of 195 feet after 5 seconds.
a) On your paper, draw a picture showing the path of the
object, and label the two given points.
b) Write an equation in vertex form, f(t) = a(t – h) + k
for the height of the object, f, after t seconds.
f(t) =
c) The science department on planet Pelmid also built a
catapult, and they determined their equation for the height
of the object after t seconds was
f(t) = - 7(t - 4)² + 294. How long does it take for the
object to hit the ground? Round to 2 decimal places.
seconds](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83ee5966-93c8-4294-9553-af3c0a4b3c47%2F737c43b1-a20a-4618-b560-85faca691dd0%2Fdzhqyyl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The science department on planet Zoplik created a catapult
to launch objects off of the roof of a 45 ft bldg (at time = 0).
The launched object followed the path of a quadratic
function reaching a max height of 195 feet after 5 seconds.
a) On your paper, draw a picture showing the path of the
object, and label the two given points.
b) Write an equation in vertex form, f(t) = a(t – h) + k
for the height of the object, f, after t seconds.
f(t) =
c) The science department on planet Pelmid also built a
catapult, and they determined their equation for the height
of the object after t seconds was
f(t) = - 7(t - 4)² + 294. How long does it take for the
object to hit the ground? Round to 2 decimal places.
seconds
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