A basketball is shot from an initial height of 2.40m (Fig.

Chapter 3, Problem 71GP

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QUESTION:

A basketball is shot from an initial height of  (Fig.  ) with an initial speed \(v_{0}=12 \mathrm{\ m} / \mathrm{s}\) directed at an angle \(\theta_{0}=35^{\circ}\) above the horizontal. (  ) How far from the basket was the player if he made a basket? (  ) At what angle to the horizontal did the ball enter the basket?

Equation Transcription:

Text Transcription:

v_0=12 m/s

theta 0=35^o

v0=12 m/s

35^o

10 ft=3.05 m

x=?

Questions & Answers

QUESTION:

A basketball is shot from an initial height of  (Fig.  ) with an initial speed \(v_{0}=12 \mathrm{\ m} / \mathrm{s}\) directed at an angle \(\theta_{0}=35^{\circ}\) above the horizontal. (  ) How far from the basket was the player if he made a basket? (  ) At what angle to the horizontal did the ball enter the basket?

Equation Transcription:

Text Transcription:

v_0=12 m/s

theta 0=35^o

v0=12 m/s

35^o

10 ft=3.05 m

x=?

ANSWER:

Step 1 of 6

A basketball is shot from an initial height of  with an initial speed  directed at an angle  above the horizontal is shown below figure.

The kinematic equation that relates the vertical displacement of basketball and its time of flight is,

Here,  is time of the flight,  is the initial distance covered in vertical direction,  is the final distance,  is the initial component of velocity in vertical direction, and  is the acceleration.

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