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Problem 58

With what initial velocity must an object be thro…

05:46
Problem 58

With what initial velocity must an object be thrown upward (from ground level) to reach the top of the Washington Monument (approximately 550 feet)?
Problem 59

A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant it is 64 feet above the ground.
(a) How many seconds after its release will the bag strike the ground?
(b) At what velocity will the bag hit the ground?
Problem 60

Vertical Motion In Exercises $60-62$ , assume the accleration of the object is $a(t)=-9.8$ meters per second per second. (Neglect air resistance.)

A baseball is thrown upward from a height of 2 meters with an initial velocity of 10 meters per second. Determine its maximum height.
Problem 61

With what initial velocity must an object be thrown upward (from a height of 2 meters) to reach a maximum height of 200 meters?
Problem 62

grand canyon The Grand Canyon is 1800 meters deep at its deepest point. A rock is dropped from
the rim above this point. How long will it take the rock to hit the canyon floor?
Sherrie F.
University of Houston
Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81
Problem 57

Vertical Motion In Exercises $57-59$ , assume the accleration of the object is $a(t)=-32$ feet per second per second. (Neglect air resistance.)

Answer

$$
f(t)=\frac{249}{4} \mathrm{ft}
$$

Chapter 4
Integration
Section 1
Antiderivatives and Indefinite Integration
Calculus of a Single Variable

Topics

Indefinite Integrals

Discussion

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Video Transcript

question. 50 maybe 32. Height of initial velocity. Six. What are you hearing? Well, I have 18 which gives me 32 teams making 32. Now I find out what might see value 60 for my the team, huh? Right. Thank you. 32 times zero plus c. So see? 16. So I have negative. 32. He six s a p. I'm thinking of your girl of negative 32 tea plus 60. Which is gonna give me negative thy peace, where you're 32. T's clear, and then I'm gonna multiply that by the record, has plus 60 t plus c. And now I'm gonna use my initial height. 0 60 I'm sorry. 06 So two equals negative. 16. He's squared, plus C t plus C s a is going to eat all zero. What next? He wrote acid, You six. Oh, their whole scene six. So my position function becomes 50 equal. Negative. 16. He's where? Plus, it's Petey. But six of my position function. So my maximum is going to look at my, uh, 32 t might plus 60 and find out where that is. Zero. So I'm gonna go to my VT. Find out where that is. He wrote, zero equals negative. 30 to 60. Negative. 60 equals negative. 32 tea. You're 40 equals 15 60 over 32 which is 15 beats. And now I'm gonna put 15 eats into my position function. So s a T. It's going to eat more eighths, square times Negative 16 60 times 15 over eight six. And when you do that, you get Essam to equal 64 62 and one for and that would be in.

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