Skill Practice 4 A quarterback throws a football with an initial velocity of 72 ft/sec at an angle of 25 ° . The height of the ball can be modeled by h ( t ) = − 16 t 2 + 30.4 t + 5 , where h ( t ) is the height (in ft) and t is the time in seconds after release. a. Determine the time at which the ball will be at its maximum height. b . Determine the maximum height of the ball. c. Determine the amount of time required for the ball to reach the receiver’s hands if the receiver catches the ball at a point 3 ft off the ground.
Skill Practice 4 A quarterback throws a football with an initial velocity of 72 ft/sec at an angle of 25 ° . The height of the ball can be modeled by h ( t ) = − 16 t 2 + 30.4 t + 5 , where h ( t ) is the height (in ft) and t is the time in seconds after release. a. Determine the time at which the ball will be at its maximum height. b . Determine the maximum height of the ball. c. Determine the amount of time required for the ball to reach the receiver’s hands if the receiver catches the ball at a point 3 ft off the ground.
Solution Summary: The author calculates the maximum height of the ball given by the equation h(t) = 16ft/sec if a quarterback throws it with an initial velocity of 72
A quarterback throws a football with an initial velocity of 72 ft/sec at an angle of
25
°
. The height of the ball can be modeled by
h
(
t
)
=
−
16
t
2
+
30.4
t
+
5
, where
h
(
t
)
is the height (in ft) and t is the time in seconds after release.
a. Determine the time at which the ball will be at its maximum height.
b. Determine the maximum height of the ball.
c. Determine the amount of time required for the ball to reach the receiver’s hands if the receiver catches the ball at a point 3 ft off the ground.
eric
pez
Xte
in
z=
Therefore, we have
(x, y, z)=(3.0000,
83.6.1 Exercise
Gauss-Seidel iteration with
Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i
Tol=10 to solve the following systems:
1.
5x-y+z = 10
2x-8y-z=11
-x+y+4z=3
iteration (x
Assi 2
Assi 3.
4.
x-5y-z=-8
4x-y- z=13
2x - y-6z=-2
4x y + z = 7
4x-8y + z = -21
-2x+ y +5z = 15
4x + y - z=13
2x - y-6z=-2
x-5y- z=-8
realme Shot on realme C30
2025.01.31 22:35
f
Use Pascal's triangle to expand the binomial
(6m+2)^2
Listen
A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
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