On a pleasure cruise a boat is traveling relative to the water at a speed of 7.28 m/s due south. Relative to the boat, a passenger walks toward the back of the boat at a speed of 1.37 m/s. (a) What is the magnitude of the passenger's velocity relative to the water? (b) How long does it take for the passenger to walk a distance of 33.3 m on the boat? (c) How long does it take for the passenger to cover a distance of 33.3 m on the water?

A river has a current that is flowing due east at 0.90 m/s [East]. A swimmer is capable of swimming at a rate of 1.47 m/s in still water. The swimmer points herself such that she swims directly across the river. What is the magnitude of swimmer's velocity relative to shore? Give your answer in m/s to 2 decimal places but do NOT include the units in your answer. Your Answer: Your Answer

A cannonball is launched from the top of a flat mountainside, which slopes upwards at 35 degrees with respect to the horizontal. The cannonball exits the cannon moving at 150 m/s, at an angle of 55 degrees with respect to the horizontal. a)How much time (in seconds) elapses between the moment the cannonball is fired and the moment it lands on the mountainside.b)How far down the mountainside (in meters) does the cannonball land?

A man walks on a straight road from his home to a market 5 km away with a speed of 10 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. What is the magnitude of average velocity?

A rock is tossed from the top of a building at an angle of 35° above the horizontal with an initial speed of 10 m/s. The rock lands on the ground 2.7 s after it is tossed. What is the height of the building (in m)?

The infamous chicken is dashing toward home plate with a speed of 5.7 m/s when he decides to hit the dirt. The chicken slides for 1.2 s, just reaching the plate as he stops (safe, of course). (a) What are the magnitude and direction of the chicken’s acceleration? (b) How far did the chicken slide?

You walk for 1000 m northwards at a constant velocity of 3 m/s. Then you turn around, and walk with an average velocity of 0.5 m/s due south. From your starting point to your destination, your overall average velocity for the entire trip is 1.2 m/s due north. What is the northward total displacement during the entire trip?

Standing on top of a tower, a man launches a stone at time t=0 from a point 15.0 m above ground level. At the instant of launch, the stone has a speed of u = 5.00 m s-¹ and moves in a direction that makes an angle of 30° with the horizontal x-axis. At t = 2.00 s, the stone is still above ground level. 5x = Sy = 18 What are the x- and y-components of the stone's displacement relative to its launch point at time t = 2.00 s, and what is the stone's distance from its launch point at this time? Enter numbers, correct to 2 significant figures, in the three empty boxes below: S = 30 X B m m X В

On a pleasure cruise a boat is traveling relative to the water at a speed of 6.01 m/s due south. Relative to the boat, a passenger walks toward the back of the boat at a speed of 1.88 m/s. (a) What is the magnitude of the passenger's velocity relative to the water? (b) How long does it take for the passenger to walk a distance of 35.4 m on the boat? (c) How long does it take for the passenger to cover a distance of 35.4 m on the water?

The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.1 m/s in a direction 27° east of north relative to the Earth. It encounters a wind that has a velocity of 4.4 m/s in a direction of 49° south of west relative to the Earth.  1. What is the magnitude of the velocity of the wind relative to the water, in meters per second?   2. What is the angle of the velocity of the wind relative to the water degrees south of west?