A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height y (in 1000 ft ) versus the time t (in sec). a. For each ordered pair, substitute the t and y values into the model y = a t 2 + b t + c to form a linear equation with three unknowns a , b , and c .Together, these form a system of three linear equations with three unknowns. b. Use a graphing utility to solve for a , b , and c . c. Substitute the known values of a , b , and c into the model y = a t 2 + b t + c . d. Determine the vertex of the parabola. e. Determine the focal length of the parabola.
A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height y (in 1000 ft ) versus the time t (in sec). a. For each ordered pair, substitute the t and y values into the model y = a t 2 + b t + c to form a linear equation with three unknowns a , b , and c .Together, these form a system of three linear equations with three unknowns. b. Use a graphing utility to solve for a , b , and c . c. Substitute the known values of a , b , and c into the model y = a t 2 + b t + c . d. Determine the vertex of the parabola. e. Determine the focal length of the parabola.
Solution Summary: The author calculates a system of three linear equations with three unknowns by substituting the values of tandy for each ordered pair into the model.
A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height
y
(in
1000
ft
) versus the time
t
(in sec).
a. For each ordered pair, substitute the
t
and
y
values into the model
y
=
a
t
2
+
b
t
+
c
to form a linear equation with three unknowns
a
,
b
,
and
c
.Together, these form a system of three linear equations with three unknowns.
b. Use a graphing utility to solve for
a
,
b
,
and
c
.
c. Substitute the known values of
a
,
b
,
and
c
into the model
y
=
a
t
2
+
b
t
+
c
.
1. Given the vector field F(x, y, z) = -zi, verify the relation
1
VF(0,0,0) lim
+0+ volume inside S
ff F• Nds
S.
where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.