You throw a ball, starting at a height of 2 meters, of mass 1 kilogram upward with a velocity of v = 24 m/s. Remember that the acceleration due to gravity is g = 9.8. 82 A. Find the position function, s(t) for the ball. -4.9t2 + 24t + 2 B. Approximately how long will the ball be in the air? Round to the nearest thousandth. | 4.98 C. Approximately how high the ball will go? Round to the nearest thousandth.
You throw a ball, starting at a height of 2 meters, of mass 1 kilogram upward with a velocity of v = 24 m/s. Remember that the acceleration due to gravity is g = 9.8. 82 A. Find the position function, s(t) for the ball. -4.9t2 + 24t + 2 B. Approximately how long will the ball be in the air? Round to the nearest thousandth. | 4.98 C. Approximately how high the ball will go? Round to the nearest thousandth.
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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Can someone please help me with the last part of this question? I thought that I was supposed to use the formula -b/2a but I am getting the wrong answer.
Image attached,
Thank You!
![**Physics Problem: Projectile Motion**
You throw a ball, starting at a height of 2 meters, of mass 1 kilogram upward with a velocity of \( v = 24 \, \text{m/s} \). Remember that the acceleration due to gravity is \( g = 9.8 \, \frac{\text{m}}{\text{s}^2} \).
A. **Find the position function, \( s(t) \), for the ball.**
\[ s(t) = -4.9t^2 + 24t + 2 \]
B. **Approximately how long will the ball be in the air? Round to the nearest thousandth.**
\[ \text{Time in air} = 4.98 \, \text{seconds} \]
C. **Approximately how high the ball will go? Round to the nearest thousandth.**
\[ \text{Maximum height} = \, \text{(Enter calculation here)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfea0b1d-fbd9-4aaf-b240-b46cb35251fe%2F8ae4593d-cc7e-4703-8bf1-b4dc10038a17%2Fwszw7rv_processed.png&w=3840&q=75)
Transcribed Image Text:**Physics Problem: Projectile Motion**
You throw a ball, starting at a height of 2 meters, of mass 1 kilogram upward with a velocity of \( v = 24 \, \text{m/s} \). Remember that the acceleration due to gravity is \( g = 9.8 \, \frac{\text{m}}{\text{s}^2} \).
A. **Find the position function, \( s(t) \), for the ball.**
\[ s(t) = -4.9t^2 + 24t + 2 \]
B. **Approximately how long will the ball be in the air? Round to the nearest thousandth.**
\[ \text{Time in air} = 4.98 \, \text{seconds} \]
C. **Approximately how high the ball will go? Round to the nearest thousandth.**
\[ \text{Maximum height} = \, \text{(Enter calculation here)} \]
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