The goal of this activity is to see if you are comfortable with the derivative of trigonometric functions. Consider the following data: A steel ball is rolling along a 20-inch long straight track. After t seconds have passed, its distance from the midpoint of the track is measured in inches and it is given by d(t) = 3 sin(t). Think of the track as aligned from left to right. Positive distances mean the ball is to the right of the center; negative distances mean the ball is to the left of the center. Find a formula for the velocity of the ball after t seconds. Ov=3sin(t) ○v = 3 cos(t) Ov=-3 sin(t) Ov=-3 cos(t) What is the physical interpretation for a positive velocity? Select all options that apply. O The ball is moving to the left O The ball is speeding up. O The ball is moving to the right O The ball is slowing down.

The goal of this activity is to see if you are comfortable with the derivative of trigonometric functions. Consider the following data: A steel ball is rolling along a 20-inch long straight track. After t seconds have passed, its distance from the midpoint of the track is measured in inches and it is given by d(t) = 3 sin(t). Think of the track as aligned from left to right. Positive distances mean the ball is to the right of the center; negative distances mean the ball is to the left of the center. Find a formula for the velocity of the ball after t seconds. Ov=3sin(t) ○v = 3 cos(t) Ov=-3 sin(t) Ov=-3 cos(t) What is the physical interpretation for a positive velocity? Select all options that apply. O The ball is moving to the left O The ball is speeding up. O The ball is moving to the right O The ball is slowing down.

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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