Consider the motion of a soccer ball that is kicked from the point (xo.Yo) = (0,0) with an initial velocity of (uovo) = (30,4) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball. a. The velocity vector is v(t) = The position vector is r(t) = b. Choose the correct graph below. A. X B. 30 Q Q MILING X 0- 30 Q Ау C. 1- 0 c. The time of flight is S. (Type an integer or decimal rounded to three decimal places as needed.) The range is m. X 30 D. Q y X 30
Consider the motion of a soccer ball that is kicked from the point (xo.Yo) = (0,0) with an initial velocity of (uovo) = (30,4) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball. a. The velocity vector is v(t) = The position vector is r(t) = b. Choose the correct graph below. A. X B. 30 Q Q MILING X 0- 30 Q Ау C. 1- 0 c. The time of flight is S. (Type an integer or decimal rounded to three decimal places as needed.) The range is m. X 30 D. Q y X 30
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the motion of a soccer ball that is kicked from the point (xo.Yo) = (0,0) with an initial velocity of
(uovo) = (30,4) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground
is horizontal, and only the gravitational force acts on the object.
a. Find the velocity and position vectors for t≥0.
b. Graph the trajectory.
c. Determine the time of flight and range of the soccer ball.
d. Determine the maximum height of the soccer ball.
a. The velocity vector is v(t) =
The position vector is r(t) =
b. Choose the correct graph below.
A.
X
30
B.
Q
MILINK
X
0-
30
S.
Ау
...
1-
C.
0
c. The time of flight is
(Type an integer or decimal rounded to three decimal places as needed.)
The range is m.
(Type an integer or decimal rounded to three decimal places as needed.)
d. The maximum height is m.
(Type an integer or decimal rounded to three decimal places as needed.)
X
D.
30
y
X
30
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