In the figure, a radar station detects an airplane approaching directly from the east. at first observation, the airplane is at distance d1 = 320 m from the station and at angle θ1 = 31° above the horizon. the airplane is tracked through an angular change δθ = 124° in the vertical east–west plane; its distance is then d2 = 800 m. find the (a) magnitude and (b) direction of the airplane's displacement during this period. give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon.

a) magnitude = 1014.2 m

b) angle = 170.16 degree

Explanation:

Initial position of the airplane is given as

at an angle of 31 degree

so its position vector is given as

now for the final position we know that

at an angle of (124+31) degree

at angle 155 degree

final position vector is given as

now displacement is given as

magnitude of the displacement is given as

direction is given as

degree

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

dang that balls went far