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Referring to Example 4-5 (a) At what launch angle greater

Chapter 4, Problem 95IP

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QUESTION:

Referring to Example 4–5 (a) At what launch angle greater than \(54.0^\circ\) does the golf ball just barely miss the top of the tree in front of the green? Assume the ball has an initial speed of

13.5 m/s, and that the tree is 3.00 m high and is a horizontal distance of 14.0 m from the launch point. (b) Where does the ball land in the case described in part (a)? (c) At what launch angle

less than \(54.0^\circ\) does the golf ball just barely miss the top of the tree in front of the green? (d) Where does the ball land in the case described in part (c)?

Equation Transcription:

Text Transcription:

54.0^o

54.0^o

Questions & Answers

QUESTION:

Referring to Example 4–5 (a) At what launch angle greater than \(54.0^\circ\) does the golf ball just barely miss the top of the tree in front of the green? Assume the ball has an initial speed of

13.5 m/s, and that the tree is 3.00 m high and is a horizontal distance of 14.0 m from the launch point. (b) Where does the ball land in the case described in part (a)? (c) At what launch angle

less than \(54.0^\circ\) does the golf ball just barely miss the top of the tree in front of the green? (d) Where does the ball land in the case described in part (c)?

Equation Transcription:

Text Transcription:

54.0^o

54.0^o

ANSWER:

Solution 95IP

Step 1 of 4

Part a

We are required to calculate the launch angle of the ball under the given conditions.

Given:

The initial speed m/s

The height of the tree m

Horizontal distance m

The horizontal distance

The vertical distance,

Substitute , , and values here,

Solving this quadratic equation,

 or 0.885

or

The angle greater than 54.00 here is 60.40.

So, the required angle is 60.40.

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