During takeoff, an airplane climbs with a speed of 130 m/s at an angle of 47 degrees above the horizontal. the speed and direction of the airplane constitute a vector quantity known as the velocity. the sun is shining directly overhead. how fast is the shadow of the plane moving along the ground? (that is, what is the magnitude of the horizontal component of the plane's velocity? )

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].

Ametal ring 4.20 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. these magnets produce an initial uniform field of 1.12 t between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.240 t/s . (a) what is the magnitude of the electric field induced in the ring? (b) in which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?

Apersons beliefs and general outlook, which act like filters on the information they receive are called ?