the instantaneous velocity when 6. IT a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t seconds later is idgiven by y 10t 1.862 (a) Find the average velocity over the given time intervals (i) [1, 2] (iii) [1, 1.1] (v) [1, 1.001] (b) Estimate the instantaneous velocity when t1. (ii) [1, 1.5 (iv) [1, 1.01] CC 7. The table shows the position of a motorcyclist after acceler- ating from rest. 6 t (seconds) 0 1 4 2 (feet) 4.9 20.6 46.5 79.2 124.8 176.7, 0 (a) Find the average velocity for each time period: (i [2, 4] (b) Use the graph of s as a function of t to estimate the instantaneous velocity whent (iv) [4, (iii) [4, 5] (ii) [3, 4] = 3. 8. The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equatic of motion s = 2 sin mt + 3 cos Tt, where t is measured seconds. (a) Find the average velocity during each time period: (ii) [1, 1.1] (iv) [1, 1.001] ntaneous yelocity of the particle (i) [1, 2] (iii) [1, 1.01]
the instantaneous velocity when 6. IT a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t seconds later is idgiven by y 10t 1.862 (a) Find the average velocity over the given time intervals (i) [1, 2] (iii) [1, 1.1] (v) [1, 1.001] (b) Estimate the instantaneous velocity when t1. (ii) [1, 1.5 (iv) [1, 1.01] CC 7. The table shows the position of a motorcyclist after acceler- ating from rest. 6 t (seconds) 0 1 4 2 (feet) 4.9 20.6 46.5 79.2 124.8 176.7, 0 (a) Find the average velocity for each time period: (i [2, 4] (b) Use the graph of s as a function of t to estimate the instantaneous velocity whent (iv) [4, (iii) [4, 5] (ii) [3, 4] = 3. 8. The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equatic of motion s = 2 sin mt + 3 cos Tt, where t is measured seconds. (a) Find the average velocity during each time period: (ii) [1, 1.1] (iv) [1, 1.001] ntaneous yelocity of the particle (i) [1, 2] (iii) [1, 1.01]
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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