A projectile is shot vertically upwards from the earth's surface with air resistance equal to kv-g [m/s²], where v is the velocity [m/s), g is gravitational acceleration [m/s²] and k is a constant. If the initial velocity of the projectile is U, find the maximum height achieved by the projectile. Take distance to be x Answer: h =In(1 + ku²) meter %3D 2kg

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 projectile is shot vertically upwards from the earth's surface with air resistance equal to kv²g [m/s²],
where v is the velocity [m/s], g is gravitational acceleration [m/s°] and k is a constant. If the initial velocity
of the projectile is U, find the maximum height achieved by the projectile. Take distance to be x
In(1 + ku²) meter
2kg
Answer: h
%3D
Transcribed Image Text:A projectile is shot vertically upwards from the earth's surface with air resistance equal to kv²g [m/s²], where v is the velocity [m/s], g is gravitational acceleration [m/s°] and k is a constant. If the initial velocity of the projectile is U, find the maximum height achieved by the projectile. Take distance to be x In(1 + ku²) meter 2kg Answer: h %3D
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