A boat travels on a heading of 335o at a constant speed of 28 km/h relative to the water. If the current is 18 km/h with a heading of 60o , what is the velocity of the ship and its bearing?

The driver of a motorboat that can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 7.0 m/s. At what angle upstream should the driver head the boat? 1.0 degree 36.9 O None of these O degree 44.42 O degree 53.13 O degree 30 O aty ial

An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.

(e) Two boats leave the same port at the same time. One travels at a speed 10 mi/h in the direction S 12° W and the other travels at a speed of 20 mi/h in a direction S 72⁰ W. How far apart are the two boats after one hour?

A boat moving at 8.6 km/hr relative to the water is crossing a river 5.1 km wide in which the current is flowing at 4.0 km/hr. At what angle upstream should the boat head to reach a point on the other shore directly opposite the starting point? (Assume 0 degrees is straight across, and give the angle in degrees as a positive value with no units.)

Two trains S and T are moving at constant speed, S at 50kmh¯1 NW and T at a speed v, kmh-1 due W. Given that vrs (the velocity of S relative T) is NE in direction. Find the magnitude of Vrs- Find the magnitude of vr.

A tourist boat operator wishes to take her boat directly west across a river. But there is a strong river current of 1.4 ms-1 towards the north. (i) In which direction must she head her boat, relative to west, at a speed of 3.0 ms-1 in order to cross directly? (ii) What will be the velocity of the boat relative to the shore of the river?

7) The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m apart. You are to deliver a package across the river, but you can swim only at 1.50 m/s. a) If you choose to minimize the time you spend in the water, in what direction should you head? b) How far downstream will you be carried? c) If you choose to minimize the distance downstream that the river carries you, in what direction should you head? d) How far downstream will you be carried? (a: straight across, b: 53.3 s and 133 m downstream, c: 36.9 degrees, 107 m)

A van had a small light in the ceiling of the cargo bay. When the van is accelerating east at a rate of 2.99 m/s^2, the light bulb rattles loose and falls to the floor. Determine the acceleration relative to the earth and its direction and the acceleration relative to the van and it’s direction.