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Find the arc length of the following curve on the given interval. x=24t-4, y = 10t+3, 0≤t≤1 The length of the curve is

Find the arc length of the following curve on the given interval. x=24t-4, y = 10t+3, 0≤t≤1 The length of the curve is

Calculus: Early Transcendentals
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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Find the arc length of the following curve on the given interval. x = 24t-4, y = 10t+3, 0≤t≤ 1 The length of the curve is
Transcribed Image Text:Find the arc length of the following curve on the given interval. x = 24t-4, y = 10t+3, 0≤t≤ 1 The length of the curve is
A plane traveling horizontally at 90 m/s over flat ground at an elevation of 2560 m must drop an emergency packet on a target on the ground. The trajectory of the packet is given by x = 90t, y = -2.5t² + 2560, for t≥0, where the origin is the point on the ground directly beneath the plane at the moment of the release. How many horizontal meters before the target should the packet be released in order to hit the target? Set up an equation involving t that could be solved in order to find out how long it takes the packet to reach the ground after being released.
Transcribed Image Text:A plane traveling horizontally at 90 m/s over flat ground at an elevation of 2560 m must drop an emergency packet on a target on the ground. The trajectory of the packet is given by x = 90t, y = -2.5t² + 2560, for t≥0, where the origin is the point on the ground directly beneath the plane at the moment of the release. How many horizontal meters before the target should the packet be released in order to hit the target? Set up an equation involving t that could be solved in order to find out how long it takes the packet to reach the ground after being released.
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