Question

Two airplanes depart from the same place at 1PM. One plane flies north at a speed of 365 km/hr and the other flies east at a speed of 484 km/hr. How far apart are they at 5PM?

Answer #1

. Two airplanes depart from the same place at 1PM. One plane
flies north at a speed of 365 km/hr and the other flies east at a
speed of 484 km/hr. How far apart are they at 5PM?

A plane flies from a base a distance 280 km at a
direction of 10.0° north of east for 2 hours and then flies 190 km
30.0° west of north for 1 hour. The magnitude and direction of the
plane displacement at the end of this trip are:

A plane takes off from an airport and flies to town A,
located
d1 = 285 km
from the airport in the direction 20.0° north of east. The
plane then flies to town B, located
d2 = 220 km
at 30.0° west of north from town A. Use graphical methods to
determine the distance and direction from town B to the airport.
(Enter the distance in km and the direction in degrees south of
west.)
distance
direction

Two airplanes are flying in the same direction in adjacent
parallel corridors. At time t = 0, the first airplane is
10 km ahead of the second one. Suppose the speed of the first plane
(km/hr) is normally distributed with mean 520 and standard
deviation 8 and the second plane's speed is also normally
distributed with mean and standard deviation 500 and 8,
respectively.
(a) What is the probability that after 2 hr of flying, the
second plane has not...

A plane is flying to a city 736 km directly north of
its initial location. The plane maintains a speed of 212 km/h
relative to the air during its flight.
(a) If the plane flies through a constant headwind
blowing south at 52.5 km/h, how much time (in h) will it take to
reach the city?
(b) If instead the plane flies through a constant
tailwind blowing at 52.5 km/h, how much time (in h) will it take to
reach...

Two radio antennas are 130 m apart on a north-south line. The
two antennas radiate in phase at a frequency of 4.1 MHz. All radio
measurements are made far from the antennas. The smallest angle,
reckoned north of east from the antennas, at which destructive
interference of the two radio waves occurs, is closest to:
Two radio antennas are 10 km apart on a north-south axis on a
seacoast. The antennas broadcast identical AM radio signals, in
phase, at a...

One airplane is approaching an airport from the north at 201
km/hr. A second airplane approaches from the East at 220 km/hr.
Find the rate at which the distance between the plane changes when
the southbound plane is 36 km away from the airport and the
westbound plane is 20 km from the airport

7. Two cars start moving from the same point. One travels north
at speed of 15 mi/hand the other travels east at 20 mi/h. At what
rate is the distance between the cars increasing two hours
later?

Two trains depart at the same time, heading toward each other on
parallel tracks. The stations are 5 miles apart. One train
accelerates at a rate of 8 mi/hr/s while the other train
accelerates at a rate of 9 mi/hr/s. How long does it take the
trains to pass each other?
How fast is each train moving as they pass each other?

QUESTION 3 An airplane flying at a speed of 600 km / h
to the north is held by a wind blowing at a speed of 50 km / h from
the north-east direction. What should be the speed and direction of
the plane to go in the same direction (north)?

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