A varsity soccer player kicks a soccer ball approximately straight upward with an initial velocity of 60 ft/sec. The ball leaves the player’s foot at a height of 2 ft. a. Use the formula s = − 1 2 g t 2 + v 0 t + s 0 to write a model representing the height of the ball s (in ft), t seconds after being kicked. Assume that the acceleration due to gravity is g = 32 ft / sec 2 . b. Determine the times at which the ball is 52 ft in the air.
A varsity soccer player kicks a soccer ball approximately straight upward with an initial velocity of 60 ft/sec. The ball leaves the player’s foot at a height of 2 ft. a. Use the formula s = − 1 2 g t 2 + v 0 t + s 0 to write a model representing the height of the ball s (in ft), t seconds after being kicked. Assume that the acceleration due to gravity is g = 32 ft / sec 2 . b. Determine the times at which the ball is 52 ft in the air.
Solution Summary: The author explains the formula used to calculate the height of the ball, which is s=-16t2+60t+2.
A varsity soccer player kicks a soccer ball approximately straight upward with an initial velocity of 60 ft/sec. The ball leaves the player’s foot at a height of 2 ft.
a. Use the formula
s
=
−
1
2
g
t
2
+
v
0
t
+
s
0
to write a model representing the height of the ball s (in ft), t seconds after being kicked. Assume that the acceleration due to gravity is
g
=
32
ft
/
sec
2
.
b. Determine the times at which the ball is 52 ft in the air.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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