Question

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 range of the projectile

Answer #1

Projectile in 2D: A ball is thrown with initial speed V , at an
angle θ above the horizontal, over flat ground. Show that the
motion is restricted to a single plane. Neglecting air resistance,
find (a) the time taken for the ball to reach the ground; (b) the
maximum height reached by the ball; (c) the horizontal distance
travelled by the ball before hitting the ground (range); (d) the
kinetic and potential energies at the position of maximum height...

1a. You launch a projectile at an initial speed of 43.8 m/s from
the ground. After 4.30 seconds of flight, the projectile lands on
the ground. At what angle above the horizontal was the projectile
launched?
b. A projectile is fired from the ground, reaches a maximum
height of 28.4 m and lands a distance of 69.3 m away from the
launch point. What was the projectile s launch velocity?
c. You launch a projectile toward a tall building, from...

Use the model for projectile motion, assuming there is no air
resistance and g = 32 feet per second per second. Determine the
maximum height and range of a projectile fired at a height of 4
feet above the ground with an initial speed of 600 feet per second
and at an angle of 45° above the horizontal. (Round your answers to
three decimal places.)
maximum height Correct:
maximum range Incorrect:

A projectile is launched 3.0 meters above the ground. The
initial velocity of the projectile is and can vary between 15.0 m/s
- 75.0 m/s with an initial angle of that can vary between 10.0 -
80.0 . You are free to choose any values between these ranges.
Clearly indicate your value for and . a) What is the maximum height
of the projectile? b) How long is the projectile in the air? c) How
far from the launch does...

A projectile is launched 3.0 meters above the ground. The
initial velocity of the projectile is vi and can vary between 15.0
m/s - 75.0 m/s with an initial angle of θi that can vary between
10.0o - 80.0o. You are free to choose any values between these
ranges. Clearly indicate your value for vi and θi. a) What is the
maximum height of the projectile? b) How long is the projectile in
the air? c) How far from the...

Use the model for projectile motion, assuming there is no air
resistance and g = 32 feet per second per second.
Determine the maximum height and range of a projectile fired at a
height of 5 feet above the ground with an initial speed of 400 feet
per second and at an angle of 45° above the horizontal. (Round your
answers to three decimal places.)

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...

A projectile is launched from point O at the edge of a cliff by
the sea, with initial speed of 22 m/sm/s at an angle of 45° above
the horizontal. The projectile rises and then falls into the sea at
point P. The projectile travels a total horizonal distance D = 38
mm from the cliff. Ignore air resistance.
a) If you want to maximize the horizontal range, how should you
adjust the launch angle?
b) Calculate the time the...

A projectile is launched from ground level with the initial
velocity of 50.0 m/s. The time of the flight is measured to be 6.00
s. How far from the launch point does the projectile land? Neglect
the air resistance and use
g = 10.0 m/s2.

A
projectile is launched from ground level at 55 m/s at a 35 degree
angle. Air resistance is negligible.
a) What is the maximum height reached by the projectile?
b) What is the velocity (magnitude and direction) of the
projectile at t=2.0 s?
c) A target with an adjustable height is placed 215 m away
from where the projectile is launched. How high should the target
be adjusted so that the projectile hits the top of the target on
its...

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