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...
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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
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
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