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.) vx =       vy =         (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 =

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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Just need questions C and D answered. Thanks 

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 

v0 = 19.5 m/s.

 The cliff is h = 56.0 m above a flat, horizontal beach as shown in the figure.

A student stands on the edge of a cliff with his hand a height h above a flat stretch of ground below the clifftop. The +x-axis extends to the right along the ground and the +y-axis extends up from the ground to the top of the cliff. The origin O of the coordinate plane is directly below the student's hand where the base of the cliff meets the flat ground. The student throws a stone horizontally rightward with initial velocity vector v0. The stone falls with a parabolic trajectory, hitting the ground with a velocity vector v that points down and right. Vector g points straight down.
 
(a) What are the coordinates of the initial position of the stone?
x0 = 0  m
y0 = 56.0  m

(b) What are the components of the initial velocity?

v0x = 19.5 m/s
v0y = 0  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.)

vx =
 
 
 
vy =
 
 
 
 

(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?
 3.38 s

(f) With what speed and angle of impact does the stone land?

vf
= 38.47  m/s
? = 59.94  ° below the horizontal
Expert Solution
Step 1 Given

Initial position , x0 = 0 m , y0=56.0  m

Initial velocity components , v0x = 19.5 m/s , v0y = 0 m/s

To find = a) components of velocity 

                b) components of position  

 

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