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.
The velocity of a particle along the s-axis is given by v = 659/8 where s is in millimeters and vis in millimeters per second. Determine the
acceleration when s is 4.1 millimeters.
Answer: a = i
eTextbook and Media
mm/s²
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.