For Exercises 120-121, consider 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 / sec 2 . If a soccer ball is kicked from ground level with an initial velocity of 28 m/sec, what is the smallest positive angle at which the player should kick the ball to reach a teammate 48 m down the field? Assume that the ball reaches the teammate at ground level on the fly. Round to the nearest tenth of a degree
For Exercises 120-121, consider 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 / sec 2 . If a soccer ball is kicked from ground level with an initial velocity of 28 m/sec, what is the smallest positive angle at which the player should kick the ball to reach a teammate 48 m down the field? Assume that the ball reaches the teammate at ground level on the fly. Round to the nearest tenth of a degree
For Exercises 120-121, consider 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
/
sec
2
.
If a soccer ball is kicked from ground level with an initial velocity of 28 m/sec, what is the smallest positive angle at which the player should kick the ball to reach a teammate 48 m down the field? Assume that the ball reaches the teammate at ground level on the fly. Round to the nearest tenth of a degree
A coast artillery gun can fire at any angle of elevation between 0° and 90° in a fixed vertical plane. If air resistance is neglected and the muzzle velocity is constant (= v0), determine the set H of points in the plane and above the horizontal which can be hit.
A body is thrown at an angle α with the horizontal. Neglecting air resistance, determine the angle α, at which the horizontal range is maximum.
A sky diver weighing 192 lb (including equipment) falls vertically downward from a very high altitude. Assume that the air resistance is proportional to the falling velocity with the constant k = 0.6, the acceleration due to gravity g = 32ft/sec2, and that the positive direction is downward.
What is the terminal velocity of the sky diver if he/she never opens the parachute?
University Calculus: Early Transcendentals (4th Edition)
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