Question: Exercises refer to Examples 9 and 10 in this section. Suppose a(t) = 18t + 8, v(1) = 15, and s(1) = 19. Find s(t).

Exercises refer to Examples 9 and 10 in this section.

Suppose a(t) = 18t + 8, v(1) = 15, and s(1) = 19. Find s(t).

Examples 9

Suppose the velocity of an object at time t is v(t) = 6t² - 8t and that the object is at 5 when time is 0. Find s(t), the function that gives the position of the object at time t.

Step by Step Solution

★★★★★

3.47 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

at 18t 8 vt fast 18t 8 dt 9t 8t C v1 91 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Exercises refer to Examples 9 and 10 in this section. Suppose a(t) = (15/2)t + 3e-t, v(0) = -3, and s(0) = 4. Find s(t). Examples 9 Suppose the velocity of an object at time t is v(t) = 6t 2 - 8t and...

Exercises refer to Examples 9 and 10 in this section. Suppose v(t) = 9t 2 - 3t and s(1) = 8. Find s(t). Examples 9 Suppose the velocity of an object at time t is v(t) = 6t 2 - 8t and that the object...

Exercises refer to Examples 9 and 10 in this section. An object is dropped from a small plane flying at 6400 ft. Assume that a(t) = -32 ft per second and v(0) = 0. Find s(t). How long will it take...

UNDERSTAND PRACTICE 10. Error Analysis Kendall was asked to find 16. Trace ABCD and point P. the scale factor for the dilation. What is Draw the dilation of Kendall's error? ABCD using P as the...

19 Name: ____________________________________ 1. Your friend has a credit card with an APR of 49.9% ! What would his finance charge be on a $500 charge for just 1 month? 2. Your friend has 2 credit...

Please write in CPP language. 1. Overview The first project is going to be a MIPS simulator. In general, you will be building a program that simulates the execution of an assembly language file. The...

Hi. I need Chapter 11 part 1-4 Let me know. Thanks! (it wont letme add more than $8, but I will give $12+ tip) Personal Finance, Fifth Edition by Jeff Madura BUILDING YOUR OWN FINANCIAL PLAN WORKBOOK...

I need chapters 18, 19, 20, and 21 for the workbook for Personal Finance by Madura!! Please help!!! Personal Finance, Fifth Edition by Jeff Madura BUILDING YOUR OWN FINANCIAL PLAN WORKBOOK INDEX...

I am working on a homework problem and am stumped on part B. Kim hotels is interested in developing a new hotel in seoul. The company estimates that the hotel would require an initial investment of...

I need Chapter 2 & 3 finished. Chapter 4 & 5, Chapter 6 & 7, & Chapter 8. Some of this is completed, but it isn't 100% finished. Let me know if you can get to it. Personal Finance, Fifth Edition by...

If the tension developed in each of the cables cannot exceed 300 lb, determine the largest weight of the crate that can be supported. Also, what is the force developed along strut AD? 5.5 ft 2 ft 2...

When you think about the words "popular culture," what do you think of? Imagine what people will study about today's American culture a couple of centuries from now. We have made a lot of...

derive a corresponding formula for _ 3 ( n ) , when _ 1 ( n ) = 1 / 2 n ( n ) , _ 2 ( n ) = 1 / 3 n ^ 2 ( n ) + n / 6 product _ p / n ( 1 - p )

What internal parts of one character conflict with the internal parts of other characters?

In Exercises 35 through 38, the graph of a function f(x) is given. In each case find: (a) The y intercept. (b) All x intercepts. (c) The largest value of f(x) and the value(s) of x for which it...

In Exercises 33 through 38, find the difference quotient, f(x + h) f(x)/h. f(x) = 1 X

Find the following ratios and explain what each one tells you from the following income statement and balance sheet: Return on Assets:

4. Find the missing vlaue in each row in the table below. Situation Present Value Future Value Periods Interest Rate per Period - a. b. c. 12 Periodic Payment $0 $1,000 $1,000 $1,000 $1,000 $2,000...

Ouestion 2 (15 marks) You are considering to invest in Stock A and decide to use Constant Perpetual Growth Model for the evaluation of this stock. You obtained the following information related to...