A rock was slung from a sling shot off the top of a building. The height of the rock, relative to the amount of time since leaving the sling shot, can be modeled by a function r (t) where r (t) represents the height of the rock in the feet above ground, and t is the number of seconds since the rock left the sling shot. The following equivalent equations represent r (t) in three different forms. r(t) =-16(t- 1.75) + 289 r (t) = -16 (t-6) (t + 2.5) r(t) =-16t + 56t + 240 Check all of the statements that are true. Othe rock hit the ground 6 seconds after leaving the sling shot. O the rock hit the ground 2.5 seconds after leaving the sling shot. O The shape of the graph is concave up. OThe rock's initial height was 289 feet. O The rock reached its highest point 1.75 seconds after leaving the sling.

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 rock was slung from a sling shot off the top of a building. The height of the rock, relative to the
amount of time since leaving the sling shot, can be modeled by a function r (t) where r (t)
represents the height of the rock in the feet above ground, and t is the number of seconds since the
rock left the sling shot.
The following equivalent equations represent r (t) in three different forms.
r (t) =-
16(t 1.75) + 289
r(t) D-16 (t- 6) (t + 2.5)
r (t) =-16t + 56t + 240
Check all of the statements that are true.
O the rock hit the ground6 seconds after leaving the sling shot.
O the rock hit the ground 2.5 seconds after leaving the sling shot.
O The shape of the graph is concave up.
O The rock's initial height was 289 feet.
O The rock reached its highest point 1.75 seconds after leaving the sling.
Transcribed Image Text:A rock was slung from a sling shot off the top of a building. The height of the rock, relative to the amount of time since leaving the sling shot, can be modeled by a function r (t) where r (t) represents the height of the rock in the feet above ground, and t is the number of seconds since the rock left the sling shot. The following equivalent equations represent r (t) in three different forms. r (t) =- 16(t 1.75) + 289 r(t) D-16 (t- 6) (t + 2.5) r (t) =-16t + 56t + 240 Check all of the statements that are true. O the rock hit the ground6 seconds after leaving the sling shot. O the rock hit the ground 2.5 seconds after leaving the sling shot. O The shape of the graph is concave up. O The rock's initial height was 289 feet. O The rock reached its highest point 1.75 seconds after leaving the sling.
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