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.
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