Velocity has both magnitude and direction. The sign on velocity indicates direction. When moving along a horizontal line; When moving along a vertical line, -example 2 The position function of a particle moving along a horizontal line is given by +15+10, where t is measured in minutes and s represents the position (in feet) relative to the origin. Determine the TOTAL DISTANCE TRAVELLED by the particle on the time interval [0, 8]. Acceleration: Acceleration is the rate at which velocity is changing. In other words: -example 3 - A rocket is propelled vertically upward from the edge of a cliff, such that its position function (which gives height, in meters, above the ground seconds after lift off) is given by: s(t)=-4.9t² +80+100 a. Write the velocity and acceleration functions. b. When is the rocket at its highest point? What is its height at that time? c. When does the rocket hit the ground? d. What is the rocket's "impact velocity?" 2

Velocity has both magnitude and direction. The sign on velocity indicates direction. When moving along a horizontal line; When moving along a vertical line, -example 2 The position function of a particle moving along a horizontal line is given by +15+10, where t is measured in minutes and s represents the position (in feet) relative to the origin. Determine the TOTAL DISTANCE TRAVELLED by the particle on the time interval [0, 8]. Acceleration: Acceleration is the rate at which velocity is changing. In other words: -example 3 - A rocket is propelled vertically upward from the edge of a cliff, such that its position function (which gives height, in meters, above the ground seconds after lift off) is given by: s(t)=-4.9t² +80+100 a. Write the velocity and acceleration functions. b. When is the rocket at its highest point? What is its height at that time? c. When does the rocket hit the ground? d. What is the rocket's "impact velocity?" 2

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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