Question

An artillery shell is red with an initial velocity of 328 m/s at 51.1 degrees above the

horizontal. To clear an avalanche, it explodes on a mountainside 42.1 s after firing. What

are the (a) x and (b) y coordinates of the shell where it explodes, relative to its firing

point? What are the (c) x and (d) y components of its velocity just before it hits the

mountainside? Be sure to include the correct sign on the answers.

Answer #1

the horizontal compontent of velocity = 328 cos (51.1) = 205.97 m/s

after 42.1 s it is at a distance of 205.97*42.1 =
**8671.42 m**

the vertical component of velocity = 328 sin (51.1) = 255.26 m/s

the acceleration due to gravity = 9.8 m/s downward

so the distance travelled in 42.1 s = ut+0.5at*t

= 255.26 * 42.1 -0.5*9.8*42.1*42.1

=**2061.8 m**

**so the components of position**

**x co ordinate = 8671.42 m**

**y co ordinate = 2061.8 m**

now the horizontal velocity remains same = 205.97

as there is no acceleration in the horizontal direction

the vertical component changes as there is acceleration in downward direction

final velocity = u+at = 255.26 + (-9.8)*42.1 = -157.37

**so x component of velocity = 205.97 m/s**

**y component = -157.37 m/s**

an artillery shell is fired with an initial velocity
of 300m/s at 53.5° above the horizontal. To clear an avalanche, it
explodes on a mountainside 37.5s after firing. What are the x and y
coordinates of the shell where it explodes, relative to its firing
point?

An artillery shell is fired with an initial velocity of 300 m/s
at 59.0° above the horizontal. To clear an avalanche, it explodes
on a mountainside 41.0 s after firing. (a) What are the x
and y components of the shell where it explodes, relative
to its firing point? (b) What is the velocity of the shell
(magnitude and direction) just before explosion? (c) What was the
maximum height reached by the projectile? (d) How long did it take
for...

Initial velocity of a shell fired is 40 m/s at an angle of 60º
above the horizontal. Draw a schematic sketch of the projection
motion and write down the basic equations needed to solve this
problem. (a) Find horizontal and vertical components of shell’s
initial velocity. (b) How long does it take for the shell to reach
the maximum height above ground? (c) At its highest point, what are
the horizontal and vertical components of its acceleration and
velocity? (Ignore...

A shell is shot with an initial velocity of 21 m/s, at an angle
of 62 degrees above the horizontal. How long does it take for the
shell to get to the top of its trajectory? At the top of the
trajectory, the shell explodes into two fragments of equal mass, as
shown in the figure below. One fragment, whose speed immediately
after the explosion is zero, falls vertically. How far from the gun
does this fragment land, assuming that...

A
cannon fires a shell at 100m/s at an angle of 37 degrees off of a
200m high cliff. What is the y component of its velocity when it
hits the ground?

An airplane is flying with a velocity of 240 m/s at an angle of
30.0 degrees with the horizontal, as the drawing shows. When the
altitude of the plane is 2.4 km, a flare is released from the
plane. The flare hits the target on the ground. What is the angle
theta?
Directions: In order to find the angle theta,
you need to find its tan. From the diagram you need to find the
adjacent side to find tan(theta). SPlit...

A soccer ball is kicked with an initial velocity of 25 m/s at
34 degrees to the horizontal. Find the following:
a. The horizontal and vertical components of the initial
velocity.
b. The highest point reached by the ball.
c. The hang time of the ball.
d. The range of the ball.

If
a ball is thrown with a velocity of 3.0m/s at an angle of 30
degrees below horizontal. When is its vertical velocity zero?
a) At the max height
b) just before it hits the ground
c) when it changes direction
d) never during its flight
d) never during its flight

A): A projectile is given an initial velocity of 34.4 m/s at an
angle of 57.5 degrees with respect to the horizontal. How far has
it moved in the x-direction at the time when its speed in the
y-direction is 10.3 m/s?
b): A projectile is launched with an initial velocity of 31.5
m/s at 68.2 degrees with respect to the horizontal. What is the
speed of the projectile 1.05 s after being launched. Assume the
speed is measured in...

A bullet shot from a small firearm has an initial velocity
v0 of 52 m/s at an angle theta = 42 with respect to the horizontal.
At the maximum trajectory (max height), we observe that, the bullet
explodes into two small pieces both of which are of equal mass. One
fragment immediately after the explosion is therefore
zero m/s and it falls vertically.
How long (in seconds) does it take the shell to reach this
point trajectory (max height)?
What is...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 15 minutes ago

asked 20 minutes ago

asked 23 minutes ago

asked 25 minutes ago

asked 29 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago