Question

A projectile is fired at an angle of 28 degrees above the horizontal with an initial velocity of 1,800 feet per second from an altitude of 1,000 feet above the ground.

A) Formulate the vector valued function (in simplified form) for the position of the projectile at any time, t.

B) When and where (in terms of down range distance) does the projectile strike the ground? Be clear and label your results, including units.

C) When does the projectile reach it's maximum height and what is the maximum height? Be clear and label your results including units.

Answer #1

A 44.0-kg projectile is fired at an angle of 30.0° above the
horizontal with an initial speed of 144 m/s from the top of a cliff
120 m above level ground, where the ground is taken to be
y = 0.
(a) What is the initial total mechanical energy of the
projectile? (Give your answer to at least three significant
figures.)
(b) Suppose the projectile is traveling 102.1 m/s at its maximum
height of y = 336 m.
How much...

A projectile is fired from ground level at an angle of 60° above
the horizontal with an initial speed of 30 m/s. What are the
magnitude and direction (relative to horizontal) of its
instantaneous velocity at
(a) the moment it is fired,
(b) the moment it reaches its maximum height, and
(c) the moment before it hits the ground?

A projectile is fired from ground level at an angle of 65 ∘
above the horizontal with an initial speed of 29 m/s .
What is the magnitude of its instantaneous velocity at the
moment it is fired?
What is the direction (relative to horizontal) of its
instantaneous velocity at the moment it is fired?
What is the magnitude of its instantaneous velocity the moment
it reaches its maximum height?
What is the direction (relative to horizontal) of its
instantaneous...

A projectile is fired with an initial velocity of 75.0 m/s at an
angle of 33.0 degrees above the horizontal. It lands on a hillside
50m above the level from which it was fired. Determine 1) the time
of flight of the projectile. 2) the maximum height to which it
rises. 3) the horizontal distance from launching to landing
points.

(a) A projectile is fired off the roof of a 15m tall building,
with a speed of 17 m/s and angle of 40o above the horizontal. What
is the maximum height, above the ground, of the projectile?
(b) A projectile is fired off the roof of a 15m tall building,
with a speed of 17 m/s and angle of 40o above the horizontal. How
far away from the building does the projectile land?

A projectile is fired with an initial speed of 37.1 m/s at an
angle of 43.1 ∘ above the horizontal on a long flat firing
range.
Part A
Determine the maximum height reached by the projectile.
Part B
Determine the total time in the air.

A projectile is fired with an initial speed of 37.6 m/s at an
angle of 41.7 ∘ above the horizontal on a long flat firing
range.
Determine the maximum height reached by the projectile.
Determine the total time in the air.
Determine the total horizontal distance covered (that is, the
range)
Determine the speed of the projectile 1.00 s after firing.

ball is kicked with an initial speed of 10 m/s above the
horizontal with an initial angle 30 degree. What is the maximum
height this projectile motion? What is the speed of the ball at its
maximum height? How long does it take the ball to reach the maximum
height? What is the speed of the ball when it hits the ground? What
is the magnitude of the acceleration of the ball when it is at the
maximum height?

A
projectile is fired from cannon (مدفع) at ground level at 45
degrees with respect to the horizontal. Neglect air resistance,
When the projectile reaches maximum height, The ratio of the
horizontal distance traveled by the projectile to maximum height
is

A projectile is launched at a height of 5ft. On the ground with
an initial speed of 1000 feet per second and an angle of 60 with
the horizontal. Use the movement of a projectile that does not
consider air resistance and determines:
The vector function that describes the position of the
projectile
The parametric equations that describe the motion
The time it took for the projectile to go up
The maximum height
The time of flight
The maximum horizontal...

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