# 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
6 views help_outlineImage Transcriptionclose22. 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? fullscreen
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Step 1

d) The component of the initial velocity of the ball

The final velocity of the ball help_outlineImage TranscriptioncloseV=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 fullscreen
Step 2

The speed of the ball when it goes through the hoop

Step 3

e) The hoop height from the re...

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### Kinematics 