For a projectile launched from ground level at an angle of elevation θ with an initial velocity v 0 , the maximum horizontal range is given by x max = v 0 2 sin 2 θ g , where g is the acceleration due to gravity g = 32 f t / sec 2 or g = 9.8 m / s e c 2 . If a toy rocket is launched from the ground with an initial velocity of 50 f t / sec and lands 73 ft from the launch point, find the angle of elevation of the rocket at launch. Round to the nearest tenth of a degree.
For a projectile launched from ground level at an angle of elevation θ with an initial velocity v 0 , the maximum horizontal range is given by x max = v 0 2 sin 2 θ g , where g is the acceleration due to gravity g = 32 f t / sec 2 or g = 9.8 m / s e c 2 . If a toy rocket is launched from the ground with an initial velocity of 50 f t / sec and lands 73 ft from the launch point, find the angle of elevation of the rocket at launch. Round to the nearest tenth of a degree.
Solution Summary: The author calculates the angle of elevation of the rocket if a toy rocket is launched from the ground with an initial velocity of 50ft/sec and lands at theta
For a projectile launched from ground level at an angle of elevation
θ
with an initial velocity
v
0
,the maximum horizontal range is given by
x
max
=
v
0
2
sin
2
θ
g
, where
g
is the acceleration due to gravity
g
=
32
f
t
/
sec
2
or
g
=
9.8
m
/
s
e
c
2
. If a toy rocket is launched from the ground with an initial velocity of
50
f
t
/
sec
and lands 73 ft from the launch point, find the angle of elevation of the rocket at launch. Round to the nearest tenth of a degree.
Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = √16x and y
V =
Draw a diagram to explain your method.
15
10
5
y
15
10
5
y
=
Find V by slicing.
16
X
О
-15 -10
-5
5
10
15
О
-15
-10
-5
5
10
15
15
10
y
15
10
5
y
x
-15
-10
-5
5
10
-15 -10
-5
5
10
15
10
X
15
a) let SSK : A->R be function and let
c be acluster Point of A if lim S, (x) exists
for each i=1, 2, .-,k then
K
i) lim Si (x)= lim fi (x)
X->C 1=1
11), im π fi (x) = lim fi (x)
YC il
i=1
1) let f(x) = ) x² Sin (1/x), xe Q/{o}
f(x) = {
x² cos(\/x), x&Q
Show that lim f(x)= 0
X = 0
c) Give an example of aset ASR, a cluster Point C
of Aand two fun. & 9: AR st lim f(x)9(x) exsis
bat limfex) does not exist
X-C
2. [-/4 Points]
DETAILS
MY NOTES
SESSCALCET2 7.3.002.
Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a = 6 and b = 2.)
ASK YOUR TEACHER
0
y = a sin(bx²)
Sketch a typical approximating shell.
y
6
4
2
x
π/b
y
2
1
x
0.5
1.0
1.5
0.2
0.4
0.6
0.8
1.0
-2
-1
-4
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