c) Solve for the time of flight t and the height y at which the water enters the window. Report both answers to two digits after the decimal point.

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d
Figure 2.
The magnitude of the initial velocity of the water is 14.65
directed at an angle 0 = 25° above the horizontal.
For projectile motion:
Vox = vo cos 0
Voy = v, sin 0
x = x, + Voxt
1
The water leaves the tip of the nozzle a distance h = 8 m
y = yo + vot – 5 gt²
above the ground. The horizontal distance between the
x-position of the nozzle and the point where the water enters
Vx = Vox
Vy = Voy – gt
the window is d = 20 m.
a) Draw an x-y coordinate system with all the input data located on the drawing at the
appropriate places (initial position and velocity, etc.)
b) Resolve the initial velocity vector into its x, and y-components vox and voy. Report
both answers to two digits after the decimal point.
c) Solve for the time of flight t and the height y at which the water enters the window.
Report both answers to two digits after the decimal point.
Please Note: The final y-position is where the water enters the window, not the
ground!
d) Calculate the value of the y-velocity vy, and the magnitude and direction of the final
velocity vector of the water as it enters the window. Report both velocities to two
digits after the decimal point, and the angle to one digit after the decimal point.
e) What is the water's maximum height ymax, and how much time tmax since it left the
nozzle does it take to get there? Report the height to two digits after the decimal point,
and the time to three digits after the decimal point.
Transcribed Image Text:h d Figure 2. The magnitude of the initial velocity of the water is 14.65 directed at an angle 0 = 25° above the horizontal. For projectile motion: Vox = vo cos 0 Voy = v, sin 0 x = x, + Voxt 1 The water leaves the tip of the nozzle a distance h = 8 m y = yo + vot – 5 gt² above the ground. The horizontal distance between the x-position of the nozzle and the point where the water enters Vx = Vox Vy = Voy – gt the window is d = 20 m. a) Draw an x-y coordinate system with all the input data located on the drawing at the appropriate places (initial position and velocity, etc.) b) Resolve the initial velocity vector into its x, and y-components vox and voy. Report both answers to two digits after the decimal point. c) Solve for the time of flight t and the height y at which the water enters the window. Report both answers to two digits after the decimal point. Please Note: The final y-position is where the water enters the window, not the ground! d) Calculate the value of the y-velocity vy, and the magnitude and direction of the final velocity vector of the water as it enters the window. Report both velocities to two digits after the decimal point, and the angle to one digit after the decimal point. e) What is the water's maximum height ymax, and how much time tmax since it left the nozzle does it take to get there? Report the height to two digits after the decimal point, and the time to three digits after the decimal point.
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