A boat is traveling upstream at 11 km/h with respect to the water of a river. The water is flowing at 7.0 km/h with respect to the ground. What are the (a) magnitude and (b) direction of the boat’s velocity with respect to the ground? A child on the boat walks from front to rear at 6.0 km/h with respect to the boat.What are the (c) magnitude and (d) direction of the child’s velocity with respect to the ground?

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)

Imagine you want to measure the height of an inaccessible mountain peak on an island in the South Pacific. First, you line up your boat so it is due west of the peak, and then find that the peak is an angle of 12 degrees up from the horizon. Next, you move your boat a displacement of 25km, 37 degrees south of east. How tall is the peak of the mountain?

an airplane is heading due east at the speed of 550 mi/h (246m/s) relative to the ground. the jet stream is blowing 30.0 degrees north of east with a speed of 53.0 mi/h (23.7m/s). determine the magnitude and direction of the jet stream velocity as measured in the airplane

Two cars approach each other at an intersection. Car A is traveling south at 30 m/s, while car B is traveling 70 degrees north of east at 50 m/s. What is the speed (in m/s) of car A as seen by the driver of car B?

A plane is headed due west with an air speed of 207 m/s. The wind blows south at 20.0 m/s. Find the velocity of the plane relative to the earth.To solve this problem it will be necessary to determine the plane's velocity relative to the the air. What is the plane's east-west velocity relative to the air? (Define the positive direction to be east.)Additionally, to solve this problem it will be necessary to determine the air's velocity relative to the earth. What is the air's north-south velocity relative to the earth? (Define the positive direction to be north.)

Rain-drops are falling vertically down at 3.0 m/s. You are walking towards north on a horizontal road at 2.0 m/s. What is the relative velocity of the rain-drops with respect to you? Please give the magnitude and direction both.

After flying for 20 min in a wind blowing 39 km/h at an angle of 22° south of east, an airplane pilot is over a town that is 60 km due north of the starting point. What is the speed of the airplane relative to the air?

A pipe discharges storm water into a creek. Water flows horizontally out of the pipe at 1.5 m/s, and the end of the pipe is 2.5 m above the creek. How far out from the end of the pipe is the point where the stream of water meets the creek?

A cruise ship sails due north at 5.00 m/s while a coast guard patrol boat heads 24.0° north of west at 6.00 m/s. What are the x-component and y-component of the velocity of the cruise ship relative to the patrol boat? (Assume that the +x-axis is east and the +y-axis is north. Enter your answers in m/s.) HINT (a) x-component (b) y-component m/s m/s