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 bail to reach the receiver's hands if the receiver catches the ball at a point 3 ft off the ground.
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 bail to reach the receiver's hands if the receiver catches the ball at a point 3 ft off the ground.
Solution Summary: The author explains how the arc of the parabolic curve of a quadratic function, h(t), will open downwards and the vertex coordinates will provide the maximum values
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 bail to reach the receiver's hands if the receiver catches the ball at a point 3 ft off the ground.
T
1
7. Fill in the blanks to write the calculus problem that would result in the following integral (do
not evaluate the interval). Draw a graph representing the problem.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
F3
a
FEB
9
2
7
0
MacBook Air
3
2
stv
DG
Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x.
h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1
-
-
-
f(x) = ☐
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY