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.
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v0 =?
An object is fired vertically upwards. Its height, h metres, after t seconds is given by
h = 8t - t² Find The acceleration after 2 seconds.
The horizontal and vertical components of the velocity of an arrow shot into
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the velocity of the arrow. (Round each answer to one decimal place.)
V =
ft/sec at an elevation of
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