College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of \( v_0 = 22.5 \, \text{m/s} \). The cliff is \( h = 54.0 \, \text{m} \) above a flat, horizontal beach as shown in the figure.

**Diagram Description:**
- A cliff with a vertical height of \( h = 54.0 \, \text{m} \).
- A stone is projected horizontally with an initial velocity \( v_0 = 22.5 \, \text{m/s} \).
- The stone follows a curved trajectory from the top of the cliff to the beach.

**Questions:**

(a) What are the coordinates of the initial position of the stone?
- \( x_0 = \) ____ m
- \( y_0 = \) ____ m

(b) What are the components of the initial velocity?
- \( v_{0x} = \) ____ m/s
- \( v_{0y} = \) ____ m/s

(c) Write the equations for the \( x \)- and \( y \)-components of the velocity of the stone with time. (Use the following as necessary: \( t \). Let the variable \( t \) be measured in seconds. Do not include units in your answer.)
- \( v_x = \) ____
- \( v_y = \) ____

(d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: \( t \). Let the variable \( t \) be measured in seconds. Do not state units in your answer.)
- \( x = \) ____
- \( y = \) ____

(e) How long after being released does the stone strike the beach below the cliff?
- \( t = \) ____ s

(f) With what speed and angle of impact does the stone land?
- \( v_f = \) ____ m/s
- \( \theta = \) ____ ° below the horizontal
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Transcribed Image Text:A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of \( v_0 = 22.5 \, \text{m/s} \). The cliff is \( h = 54.0 \, \text{m} \) above a flat, horizontal beach as shown in the figure. **Diagram Description:** - A cliff with a vertical height of \( h = 54.0 \, \text{m} \). - A stone is projected horizontally with an initial velocity \( v_0 = 22.5 \, \text{m/s} \). - The stone follows a curved trajectory from the top of the cliff to the beach. **Questions:** (a) What are the coordinates of the initial position of the stone? - \( x_0 = \) ____ m - \( y_0 = \) ____ m (b) What are the components of the initial velocity? - \( v_{0x} = \) ____ m/s - \( v_{0y} = \) ____ m/s (c) Write the equations for the \( x \)- and \( y \)-components of the velocity of the stone with time. (Use the following as necessary: \( t \). Let the variable \( t \) be measured in seconds. Do not include units in your answer.) - \( v_x = \) ____ - \( v_y = \) ____ (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: \( t \). Let the variable \( t \) be measured in seconds. Do not state units in your answer.) - \( x = \) ____ - \( y = \) ____ (e) How long after being released does the stone strike the beach below the cliff? - \( t = \) ____ s (f) With what speed and angle of impact does the stone land? - \( v_f = \) ____ m/s - \( \theta = \) ____ ° below the horizontal
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