22. Matt shoots the ball with an initial velocity of 20 m/s at an angle of 53° above the hori- 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 assume that g = 10 m/s². %3D 20 m/s 53° Matt Note: Picture not drawn to scale. Мо a) Find the components of the initial velocity vector 7. b) How far is Matt from Mo when he shoots the ball? c) What is the y-component of the ball's velocity (v,f) 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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Chapter4: Motion In Two Dimensions
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**22. Matt shoots the ball with an initial velocity of 20 m/s at an angle of 53° above the hori-
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
assume that g = 10 m/s².
20 m/s
53°
Matt
Note: Picture not drawn to scale.
Mo
a) Find the components of the initial velocity vector 7,.
b) How far is Matt from Mo when he shoots the ball?
c) What is the y-component of the ball's velocity (v,f) 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?
Transcribed Image Text:**22. Matt shoots the ball with an initial velocity of 20 m/s at an angle of 53° above the hori- 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 assume that g = 10 m/s². 20 m/s 53° Matt Note: Picture not drawn to scale. Mo a) Find the components of the initial velocity vector 7,. b) How far is Matt from Mo when he shoots the ball? c) What is the y-component of the ball's velocity (v,f) 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?
given data: hitial velocity ()= 2ormls, angle 0)=53'
time (t)= 3 seconds
9- lomis?
20 mis
Matt
Step2
b)
a Honi 2ortal component of velocily = Vocos 53 » 20x o-601- 202 mls
ventical component of vel ocity = Vosir 53 » 2ox0.798 - 15.96s
b. displacement of ball in honizontal dire ction
is egjual
to di stance
between Matt & mo.
So: displa cenent » Vt »
(Vocau53:)+ > 12-02x3=36.06 mls
Step3
c)
So accelorotion in venti cal direction »
Use eg/uation's of moti on:
y= initi al vertical speed )
My - Uy t Qyt
(uy - Vosin 53 = 1596 mls)
Vy = 15.96 + (-lo) x3 >
15.96-30-T4.04mls
Transcribed Image Text:given data: hitial velocity ()= 2ormls, angle 0)=53' time (t)= 3 seconds 9- lomis? 20 mis Matt Step2 b) a Honi 2ortal component of velocily = Vocos 53 » 20x o-601- 202 mls ventical component of vel ocity = Vosir 53 » 2ox0.798 - 15.96s b. displacement of ball in honizontal dire ction is egjual to di stance between Matt & mo. So: displa cenent » Vt » (Vocau53:)+ > 12-02x3=36.06 mls Step3 c) So accelorotion in venti cal direction » Use eg/uation's of moti on: y= initi al vertical speed ) My - Uy t Qyt (uy - Vosin 53 = 1596 mls) Vy = 15.96 + (-lo) x3 > 15.96-30-T4.04mls
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