22. Matt shoots the ball with an initial velocity of 20 m/s at anzontal. Three seconds later, the ball swooshes through the hoop. His friend, Mo, is waitingdirectly under the basket. In the questions that follow, you may neglect air resistance and**angle of 53° above the hori-assume that g = 10 m/s2.20 m/s530MattMoNote: Picture not drawn to scale.a) Find the components of the initial velocity vectorb) How far is Matt from Mo when he shoots the ball?c) What is the y-component of the ball's velocity (v) when it goes through the hoop?d) What is the speed of the ball when it goes through the hoop? [Hint: The answer isnot 20 m/s.]e) How much higher is the hoop than the release point of the ball?

Question
Asked Sep 17, 2019
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d and e only please

22. Matt shoots the ball with an initial velocity of 20 m/s at an
zontal. Three seconds later, the ball swooshes through the hoop. His friend, Mo, is waiting
directly under the basket. In the questions that follow, you may neglect air resistance and
**
angle of 53° above the hori-
assume that g = 10 m/s2.
20 m/s
530
Matt
Mo
Note: Picture not drawn to scale.
a) Find the components of the initial velocity vector
b) How far is Matt from Mo when he shoots the ball?
c) What is the y-component of the ball's velocity (v) when it goes through the hoop?
d) What is the speed of the ball when it goes through the hoop? [Hint: The answer is
not 20 m/s.]
e) How much higher is the hoop than the release point of the ball?
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22. Matt shoots the ball with an initial velocity of 20 m/s at an zontal. Three seconds later, the ball swooshes through the hoop. His friend, Mo, is waiting directly under the basket. In the questions that follow, you may neglect air resistance and ** angle of 53° above the hori- assume that g = 10 m/s2. 20 m/s 530 Matt Mo Note: Picture not drawn to scale. a) Find the components of the initial velocity vector b) How far is Matt from Mo when he shoots the ball? c) What is the y-component of the ball's velocity (v) when it goes through the hoop? d) What is the speed of the ball when it goes through the hoop? [Hint: The answer is not 20 m/s.] e) How much higher is the hoop than the release point of the ball?

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Expert Answer

Step 1

d) The component of the initial velocity of the ball

 

The final velocity of the ball

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V=20 cos53 - 12.03 m/s 20 sin 53 = 15.97 m/s -gt -15.97 m/s - (10 m/s2x3 s =-14.03 m/s =14.03 m/s in downward direction

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Step 2

The speed of the ball when it goes through the hoop

Answer : 18.48 m/s

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(14.03)+(12.03) -18.48 m/s

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Step 3

e) The hoop height from the re...

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1 2 y ugt

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Kinematics

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