A basketball leaves a player’s hands at a height of 2.10m

Chapter 3, Problem 68GP

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QUESTION:

A basketball leaves a player’s hands at a height of 2.10 m above the floor. The basket is 3.05 m above the floor. The player likes to shoot the ball at a \(38.0^{\circ}\) angle. If the shot is made from a horizontal distance of 11.00 m and must be accurate to \(\pm 0.22\) (horizontally), what is the range of initial speeds allowed to make the basket?

Equation Transcription:

Text Transcription:

38.0^o

+/- 0.22

Questions & Answers

QUESTION:

A basketball leaves a player’s hands at a height of 2.10 m above the floor. The basket is 3.05 m above the floor. The player likes to shoot the ball at a \(38.0^{\circ}\) angle. If the shot is made from a horizontal distance of 11.00 m and must be accurate to \(\pm 0.22\) (horizontally), what is the range of initial speeds allowed to make the basket?

Equation Transcription:

Text Transcription:

38.0^o

+/- 0.22

ANSWER:

Step 1 of 2

The approximation is  and the range of initial speed will lies between distance  and .

The relation from equation of motion is,

                                                         

Here, v is the initial velocity, y is the vertical distance, t is the time, x is the distance and g is the gravitational acceleration.

For ,

                                                 

 

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