Question

1. A Coast Guard cutter detects an unidentified ship at a distance of 19.0 km in the direction 15.0° east of north. The ship is traveling at 27.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat to intercept and investigate the vessel.

(a) If the speedboat travels at 40.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north.
? ° east of north

(b) Find the time required for the cutter to intercept the ship.
? min

2. From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 9.10 m/s and angle of 19.0° below the horizontal. It strikes the ground 5.00 s later.

(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.)

(c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.)
X= ? m
Y= ? m

(e) Find the height from which the ball was thrown.
? m

Answer 1

0