Question

An
airplane travels 187 km at 28 degrees N of E, then 259 km at 39
degrees W of S. What is the direction and magnitude of its total
displacement with respect to the original position?

Answer #1

An airplane with a ground speed of 550 km/hr travels along a
heading of 30 degrees N of W. At that high altitude there is a
powerful 210 km/hr wind (known as the jet stream) 40 degrees south
of west. Determine the direction that the pilot is aiming the
plane.
The answer key says that the pilot must point 52.4 degrees
NofW.

An airplane with a ground speed of 550 km/hr travels along a
heading of 30 degrees N of W. At that high altitude there is a
powerful 210 km/hr wind (known as the jet stream) 40 degrees south
of west. Determine the direction that the pilot is aiming the
plane.
(I know this question has been asked already 3 times- but 2 of
the answers were wrong, and I couldnt understand the work for the
correct one.)
the answer key...

A 15000 N automobile travels at a speed of 47 km/h northward
along a street, and a 6500 N sports car travels at a speed of 55
km/h eastward along an intersecting street.
(a) If neither driver brakes and the cars collide at the
intersection and lock bumpers, what will the velocity of the cars
be immediately after the collision?
magnitude= km/h
direction in degrees
(b) What percentage of the initial kinetic energy will be lost
in the collision?

jogger runs with a velocity of 6.0 km/h
[25° N of W] for 35 min and then changes
direction, jogging for 20 min at 4.5 km/h
[65° E of N]. Using a vector diagram,
determine the jogger’s total displacement
and his average velocity for the workout.

A beam of protons traveling at 1.20 km/s enters a uniform
magnetic field, traveling perpendicular to the field. The beam
exits the magnetic field, leaving the field in a direction
perpendicular to its original direction (the figure (Figure 1)).
The beam travels a distance of 1.10 cm while in the field. a. What
is the magnitude of the magnetic field?

A beam of protons traveling at 1.40 km/s enters a uniform
magnetic field, traveling perpendicular to the field. The beam
exits the magnetic field in a direction perpendicular to its
original direction (Figure 1). The beam travels a distance of 1.70
cm while in the field.
What is the magnitude of the magnetic field? Express your answer
in teslas to three significant figures.

Mary and Sally have
decided to spend their vacation time on a boat in a river.
Unfortunately, Sally liked a recent Instagram post from another of
her friends that Mary didn't like, turning the two into bitter
enemies. Now each has their boat on their own river. Mary has her
boat in a river with a current that is 8.000 km/hr to the south.
Mary's boat has a speed of 12.00 km/hr in still water. Sally has
her boat in...

Mary and Sally have
decided to spend their vacation time on a boat in a river.
Unfortunately, Sally liked a recent Instagram post from another of
her friends that Mary didn't like, turning the two into bitter
enemies. Now each has their boat on their own river. Mary has her
boat in a river with a current that is 8.000 km/hr to the south.
Mary's boat has a speed of 12.00 km/hr in still water. Sally has
her boat in...

A jogger ran for 15 minutes at 4 mph in the direction 50 degrees
South of West. Then she stopped, turned to the East, and ran with a
constant acceleration of 0.2 m/s^2 for 1.0 minutes. She stopped
again, turned, and ran back to the gym with a constant velocity. In
all, she spent 40 minutes running and jogging.
a) What was her velocity (Magnitude and Direction) as she was
running back to the gym?
b)Write the vector of the...

A small object with mass 4.10 kg moves counterclockwise with
constant speed 1.35 rad/s in a circle of radius 3.05 m centered at
the origin. It starts at the point with position vector
3.05î m. Then it undergoes an angular displacement
of 8.65 rad.
(a) What is its new position vector?
m
(b) In what quadrant is the particle located and what angle does
its position vector make with the positive x-axis?
Second at ??°
(c) What is its velocity?
m/s...

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