Olympus Mons is believed to be the tallest mountain in the solar system at 22 km (22000 m) high. If a stone were to be dropped from this height on Mars it would follow the position function p(t) = −1.9t² + 22000. Ignoring air-resistance, at approximately what velocity would it hit the ground ? [A] 128.2 m/s [D] 107.6 m/s [B] 35.23 m/s [C] -408.88 m/s [E] -204.44 m/s

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
Olympus Mons is believed to be the tallest mountain in the solar system at 22 km
(22000 m) high. If a stone were to be dropped from this height on Mars it would follow
the position function p(t) = −1.9t² + 22000. Ignoring air-resistance, at approximately
what velocity would it hit the ground ?
[A] 128.2 m/s
[D] 107.6 m/s
[B] 35.23 m/s [C] -408.88 m/s
[E] -204.44 m/s
Transcribed Image Text:Olympus Mons is believed to be the tallest mountain in the solar system at 22 km (22000 m) high. If a stone were to be dropped from this height on Mars it would follow the position function p(t) = −1.9t² + 22000. Ignoring air-resistance, at approximately what velocity would it hit the ground ? [A] 128.2 m/s [D] 107.6 m/s [B] 35.23 m/s [C] -408.88 m/s [E] -204.44 m/s
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