Question

At time t = 0, an anti-aircraft cannon located at (0, 0) fires a shell at a speed 800 m/s. At the same moment, an aircraft is at coordinate (1000, 3000) and flying in the −x direction with a constant velocity 300 m/s. Determine at what angle(s) with respect to the +x axis the cannon must fire so that the shell can hit the aircraft and determine at what location the aircraft will be hit.

Answer #1

A projectile motion (i.e. cannon) can be modeled via the
following equations: x=u cosθ t y=-0.5 g t^2+u sinθ t Where: x:
Position of the cannonball after t seconds in the x-direction
(meters) y: Position of the cannonball after t seconds in the
y-direction (meters) u: Initial velocity of the cannonball (meters
per second) g: Acceleration due to gravity (meters per second
squared) t: Time (seconds) In this question, we are trying to see
the effects of the angle ϴ...

A restored Civil War cannon is being tested using cannonballs of
various mass and using various loads of gunpowder. In one test, the
cannon fires a cannonball at a speed of 74.0 m/s in a
direction which is 51.0 degrees Up from East. The
cannonball is intended to land on a mesa which is to the east of
the cannon. The near edge of the mesa is a vertical cliff which is
103.0 m high; the base of the cliff is
127.0 m to...

Far out in space, a bored astronaut fires an antique gun at a
sack of rocks (mass M). The bullet (mass m) bounces around inside
the sack a few times, eventually emerging with a reduced, but still
high, speed. As the bullet flies off into space, the astronaut
remembers with dismay that it was a priceless historical artifact.
Fortunately, the astronaut knows the initial speed v0 of the
bullet, and that the sack was initially at rest but after being...

A 5.97-kg object passes through the origin at time t = 0 such
that its x component of velocity is 5.40 m/s and its y component of
velocity is -3.24 m/s.
(a) What is the kinetic energy of the object at this
time?
(b) At a later time t = 2.00 s, the particle is located at x =
8.50 m and y = 5.00 m. What constant force acted on the object
during this time interval?
magnitude
direction °...

A 6.32-kg object passes through the origin at time t =
0 such that its x component of velocity is 4.85 m/s and
its ycomponent of velocity is -3.12 m/s.
(a) What is the kinetic energy of the object at this time?
J
(b) At a later time t = 2.00 s, the particle is located at
x = 8.50 m and y = 5.00 m. What constant force
acted on the object during this time interval?
magnitude
N
direction...

A 5.32-kg object passes through the origin at time
t = 0 such that its x component of
velocity is 5.40 m/s and its y component of velocity is
−2.94 m/s.
(a) What is the kinetic energy of the object at this time?
J
(b) At a later time
t = 2.00 s,
the particle is located at
x = 8.50 m
and
y = 5.00 m.
What constant force acted on the object during this time
interval?
magnitude
N...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 11 minutes ago

asked 13 minutes ago

asked 19 minutes ago

asked 24 minutes ago

asked 24 minutes ago

asked 29 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 53 minutes ago