13. A 6 ft tall man throws a shot put with an initial velocity of 55 f/sec. The height of the shot after t seconds can be modeled by s(t) = 6+55t - 16t2. a. Find the shot's velocity at time t. V=-32t+55 b. Find the shot's speed at timę t. V= S'(E) =-32七+55 t: %3D 5. O= 6+556-L O=-16t+55 1-32t+55 c. Find the shot's acceleration at time t. -32 FEIS2 d. How long will it take the shot to hit the ground? Round the answer to the nearest tenth of a second. e. What is the velocity of the ball when it hits the ground?
13. A 6 ft tall man throws a shot put with an initial velocity of 55 f/sec. The height of the shot after t seconds can be modeled by s(t) = 6+55t - 16t2. a. Find the shot's velocity at time t. V=-32t+55 b. Find the shot's speed at timę t. V= S'(E) =-32七+55 t: %3D 5. O= 6+556-L O=-16t+55 1-32t+55 c. Find the shot's acceleration at time t. -32 FEIS2 d. How long will it take the shot to hit the ground? Round the answer to the nearest tenth of a second. e. What is the velocity of the ball when it hits the ground?
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 24P: Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start...
Related questions
Question
100%
I need part d and e
![I1.312mis
13. A 6 ft tall man throws a shot put with an initial velocity of 55 ft/sec. The height of the shot after
t seconds can be modeled by s(t) = 6 +55t- 16t2.
a. Find the shot's velocity at time t.
V=-32も+55
V= S'(E) =32七+55 t= 1
55
b. Find the shot's speed at time t.
O= 6+556-16
1-32も+SS
c. Find the shot's acceleration at time t.
32 FEIS2
d. How long will it take the shot to hit the ground? Round the answer to the nearest tenth of
a second.
e.
What is the velocity of the ball when it hits the ground?
X (3-Y)
14. Consider the curve defined by x²y² - 3x2 - 6y² = 0.
a. Use implicit differentiation to find :
dx
b. the slope of the curve at the point (-1,1)
15. Sand falls from a conveyor belt at a rate of 12 m³ /min onto the top of a conical pile. The radius
of the base is always three-fourths the height of the pile. How fast is the height changing when
the pile's height is 4 m? Give the simplified exact (in terms of n) answer and appropriate units.
rerh
Volume
3.
dv T.2r.ar.dn dkr: h
3.
da
dt
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ff23c12-d889-4135-a7d4-08cb9a5cbf87%2Fc5d9806f-b1ab-4aa1-ae8a-9ac8209dfc53%2Fl3r79on_processed.jpeg&w=3840&q=75)
Transcribed Image Text:I1.312mis
13. A 6 ft tall man throws a shot put with an initial velocity of 55 ft/sec. The height of the shot after
t seconds can be modeled by s(t) = 6 +55t- 16t2.
a. Find the shot's velocity at time t.
V=-32も+55
V= S'(E) =32七+55 t= 1
55
b. Find the shot's speed at time t.
O= 6+556-16
1-32も+SS
c. Find the shot's acceleration at time t.
32 FEIS2
d. How long will it take the shot to hit the ground? Round the answer to the nearest tenth of
a second.
e.
What is the velocity of the ball when it hits the ground?
X (3-Y)
14. Consider the curve defined by x²y² - 3x2 - 6y² = 0.
a. Use implicit differentiation to find :
dx
b. the slope of the curve at the point (-1,1)
15. Sand falls from a conveyor belt at a rate of 12 m³ /min onto the top of a conical pile. The radius
of the base is always three-fourths the height of the pile. How fast is the height changing when
the pile's height is 4 m? Give the simplified exact (in terms of n) answer and appropriate units.
rerh
Volume
3.
dv T.2r.ar.dn dkr: h
3.
da
dt
3
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![College Physics](https://www.bartleby.com/isbn_cover_images/9781285737027/9781285737027_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![College Physics](https://www.bartleby.com/isbn_cover_images/9781285737027/9781285737027_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College