Activity 1.1.4 will be answered. Please try not to use derivatives or integrals to calculate stuff if it’s possible. Thanks! Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) isgiven in feet by the formula s(t) = 64 – 16(t –- 1)².a. Construct a graph of y = s(t) on the time interval 0st< 3. Label at least sixdistinct points on the graph, including the three points showing when the ballwas released, when the ball reaches its highest point, and when the ball lands.b. Describe the behavior of the ball on the time interval 0 < t < 1 and on timeinterval 1 Activity 1.1.4. For the function given by s(t) = 64 – 16(t – 1)² from Preview Activ-ity 1.1.1, find the most simplified expression you can for the average velocity of theball on the interval [2,2 + h]. Use your result to compute the average velocity on[1.5,2] and to estimate the instantaneous velocity at t = 2. Finally, compare yourearlier work in Activity 1.1.2.

Answered: Image /qna-images/answer/4cc39e31-d63d-4fa3-9bac-5c9ebee83b3e.jpg

Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet by the formula s(t) = 64 – 16(t –- 1)². a. Construct a graph of y = s(t) on the time interval 0

Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet by the formula s(t) = 64 – 16(t –- 1)². a. Construct a graph of y = s(t) on the time interval 0

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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Question

Activity 1.1.4 will be answered. Please try not to use derivatives or integrals to calculate stuff if it’s possible. Thanks!

Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is
given in feet by the formula s(t) = 64 – 16(t –- 1)².
a. Construct a graph of y = s(t) on the time interval 0st< 3. Label at least six
distinct points on the graph, including the three points showing when the ball
was released, when the ball reaches its highest point, and when the ball lands.
b. Describe the behavior of the ball on the time interval 0 < t < 1 and on time
interval 1 <t < 3. What occurs at the instant t = 1?
c. Consider the expression
s(1) – s(0.5)
1- 0.5
AV[0.5,1)
%3D
Compute the value of AV10.5,1]. What does this value measure on the graph?
What does this value tell us about the motion of the ball? In particular, what are
the units on AV[0.5,1]?

Activity 1.1.4. For the function given by s(t) = 64 – 16(t – 1)² from Preview Activ-
ity 1.1.1, find the most simplified expression you can for the average velocity of the
ball on the interval [2,2 + h]. Use your result to compute the average velocity on
[1.5,2] and to estimate the instantaneous velocity at t = 2. Finally, compare your
earlier work in Activity 1.1.2.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

Expert Solution