Question

Two seconds after being projected from ground level, a
projectile is displaced 40 m horizontally and 53 m vertically above
its launch point. Its horizontal component of initial velocity is
v_{0x}=20 m/s. Its vertical component of initial velocity
is v_{0y}=36 m/s. At the instant the projectile reaches
maximum height above ground level, the displacement is x=74 m.

Answer questions a, b, and c below. Show all work and details. Give explanation for your answer.

a) What is the horizontal range of the projectile?

b) What would be the velocity of the projectile when is at the half of the maximum height?

c) By adjusting the launching angle with the same launching speed, the projectile hits a target at 165 m away horizontally from the launching point, but at the same height. Find the maximum height that this projectile reaches.

Answer #1

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...

A projectile is fired from the origin (at y = 0 m) as shown in the
figure. The initial velocity components are V0x = 400 m/s and V0y =
82 m/s. The projectile reaches maximum height at point P, then it
falls and strikes the ground at point Q. In the figure, the
y-component of the velocity of the shell of point P is closest
to:
-80 m/s
zero
-160 m/s
+80 m/s
+160 m/s

A projectile is shot from the edge of a cliff 115 m m above
ground level with an initial speed of v0 v 0 = 54 m/s m / s at an
angle of 35.0∘
A) Determine the time taken by the projectile to hit point P P
at ground level.
B)Determine the distance XX of point PP from the base of the
vertical cliff.
C)At the instant just before the projectile hits point PP, find
the horizontal and the...

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...

You launch a projectile toward a tall building, from a position
on the ground 30.0 m away from the base of the building. The
projectile s initial velocity is 40.5 m/s at an angle of 56.8
degrees above the horizontal. At what height above the ground does
the projectile strike the building?

A streamlined and compact projectile is launched from flat
ground on a valley toward a distant hillside at an Army testing
ground in Nevada. The projectile’s initial speed is vi = 150. m/s
as it leaves the cannon. The initial angle of launch θi of the
projectile is unknown. The projectile makes impact high on the
distant hill a time t = 3.00 s after its departure. From GPS
sensors we know that the site of impact is a straight-line...

A streamlined and compact projectile is launched from flat
ground on a valley toward a distant hillside at an Army testing
ground in Nevada. The projectile’s initial speed is vi = 150. m/s
as it leaves the cannon. The initial angle of launch θi of the
projectile is unknown. The projectile makes impact high on the
distant hill a time t = 3.00 s after its departure. From GPS
sensors we know that the site of impact is a straight-line...

A streamlined and compact projectile is launched from flat
ground on a valley toward a distant hillside at an Army testing
ground in Nevada. The projectile’s initial speed is vi = 150. m/s
as it leaves the cannon. The initial angle of launch θi of the
projectile is unknown. The projectile makes impact high on the
distant hill a time t = 3.00 s after its departure. From GPS
sensors we know that the site of impact is a straight-line...

1) On Planet #1, you drop a stone from rest, 94.9 m above the
ground, and the stone hits the ground 2.96 s later. What is the
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2)On planet #2, you launch a projectile straight up from the
ground at a speed of 32.6 m/s. The projectile reaches a maximum
height of 68.0 m before falling back to the ground. What is the
value of g for planet #2?
3)On planet #3, you fire...

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