Suppose a hiker, standing near the edge of a 416 meter tall cliff, throws a rock downward vertically off the cliff at a speed of 72 meters per second. Then the position of the rock t seconds after being thrown is: t) 1416 – 72t – 4.9t meters Determine the velocity and acceleration of the rock at the moment the rock impacts the ground. Round solutions to the nearest thousandth, if necessary. a. After how many seconds does the rock hit the ground below the cliff? seconds b. The rock's velocity at the point of impact is Select an answer v c. The rock's acceleration at the point of impact is Select an answer v Question Help: O Message instructor

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...
Question
Suppose a hiker, standing near the edge of a 416 meter tall cliff, throws a rock downward vertically off the cliff
at a speed of 72 meters per second. Then the position of the rock t seconds after being thrown is:
(t) =416 – 72t – 4.9t? meters
Determine the velocity and acceleration of the rock at the moment the rock impacts the ground. Round
solutions to the nearest thousandth, if necessary.
a. After how many seconds does the rock hit the ground below the cliff?
seconds
b. The rock's velocity at the point of impact is
Select an answer v
c. The rock's acceleration at the point of impact is
Select an answer v
Question Help: Message instructor
Submit All Parts
Transcribed Image Text:Suppose a hiker, standing near the edge of a 416 meter tall cliff, throws a rock downward vertically off the cliff at a speed of 72 meters per second. Then the position of the rock t seconds after being thrown is: (t) =416 – 72t – 4.9t? meters Determine the velocity and acceleration of the rock at the moment the rock impacts the ground. Round solutions to the nearest thousandth, if necessary. a. After how many seconds does the rock hit the ground below the cliff? seconds b. The rock's velocity at the point of impact is Select an answer v c. The rock's acceleration at the point of impact is Select an answer v Question Help: Message instructor Submit All Parts
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