A student stands at the edge of a cliff and throws stone horizontally over the edge with a speed of V = 22.5 m/s. The cliff is h = 54.0 m above a flat, horizontal beach as shown in the figure. Ⓡ (a) What are the coordinates of the initial position of the stone? xo = | m Yo = Vx= Vy Vo (b) What are the components of the initial velocity? Vox = m/s m/s Voy= (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.) x= 7 m y= x (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.) v₁= 0 = (e) How long after being released does the stone strike the beach below the cliff? s (f) with what speed and angle of impact does the stone land? m/s below the horizontal
A student stands at the edge of a cliff and throws stone horizontally over the edge with a speed of V = 22.5 m/s. The cliff is h = 54.0 m above a flat, horizontal beach as shown in the figure. Ⓡ (a) What are the coordinates of the initial position of the stone? xo = | m Yo = Vx= Vy Vo (b) What are the components of the initial velocity? Vox = m/s m/s Voy= (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.) x= 7 m y= x (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.) v₁= 0 = (e) How long after being released does the stone strike the beach below the cliff? s (f) with what speed and angle of impact does the stone land? m/s below the horizontal
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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