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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Calculus I

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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
Transcribed Image Text: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
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