Emmy kicks a soccer ball up at an angle of 45" over a level field. She watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. Assume that air resistance is negligible, and plot the horizon and vertical components of the ball's velocity as a function of time. Consider only the time that the ball is in the air, after being kicked but before landing. Take "north" and "up" as the positive x- and y-directions, respectively, and use g z 10 m/s for the downward acceleration due to gravity.

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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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Emmy kicks a soccer ball up at an angle of 45° over a level field. She watches the ball's trajectory and notices that it lands,
two seconds after being kicked, about 20 m away to the north. Assume that air resistance is negligible, and plot the horizonta
and vertical components of the ball's velocity as a function of time. Consider only the time that the ball is in the air, after
being kicked but before landing. Take "north" and "up" as the positive x- and y-directions, respectively, and use g z 10 m/s
for the downward acceleration due to gravity.
Transcribed Image Text:Emmy kicks a soccer ball up at an angle of 45° over a level field. She watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. Assume that air resistance is negligible, and plot the horizonta and vertical components of the ball's velocity as a function of time. Consider only the time that the ball is in the air, after being kicked but before landing. Take "north" and "up" as the positive x- and y-directions, respectively, and use g z 10 m/s for the downward acceleration due to gravity.
Horizontal velocity
Vertical velocity
15
15
10
10
-5
-5
-10
-10
-15
-15
0.0
0.5
1.0
1.5
2.0
0.0
0.5
1.0
1.5
2.0
t (s)
t (s)
(s/u) A
(s/u) A
Transcribed Image Text:Horizontal velocity Vertical velocity 15 15 10 10 -5 -5 -10 -10 -15 -15 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 t (s) t (s) (s/u) A (s/u) A
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