After a 90-kg person steps from a boat onto the shore, the boat moves away with a speed of 0.70 m/s with respect to the shore. If the same person steps from the shore onto the boat, the person and the boat move away from the shore with the speed of 0.50 m/s. Assume that the initial speed of the person with respect to the shore is the same in both cases and that the person is moving in a horizontal direction. Determine the Mass of the boat and the speed of the person.

At a particular instant, a hot air balloon is 48.7m above a horizontal field and descending at a rate of 2.67m/s. At this instant, a girl who is riding in the gondola of the balloon throws a ball with a speed of 14.7m/s with a direction that is horizontal in the frame of the gondola. When the balloon lands on the ground, how far, in meters, is she from where the ball landed? Neglect air resistance.

A fighter plane moving 233 m/s horizontally fires a projectile with speed 59 m/s in a forward direction 30.0° below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground? a) 249 m/s Ob) 2660 m/s c) 288 m/s d) 286 m/s

Question 013A: Complete the following question involving vectors and net force. A boat travels towards the northeast at 23 knots, and there is an 8 knot crosswind out of the southeast affecting the boat. Convert the boat's motion (not the crosswind) into rectangular coordinates (aka: convert into "X" and "y"). O x = -16.26 y = -16.26 O x = 16.26 y = 16.26 O x = 0 y = 23 x = 16.26 y = -16.26 QUESTION 14 Question 013B: Complete the following question involving vectors and net force. A boat travels towards the northeast at 23 knots, and there is an 8 knot crosswind out of the southeast affecting the boat. Convert the crosswind (not the boat) into rectangular coordinates (aka: convert into "x" and "y"). O x = 5.66 y = -5.66 O x = -4 y = 4 O x = -5.66 у--5.66 O x = -5.66 y = 5.66

A diver springs upward from a board that is 4.30 m above the water. At the instant she contacts the water her speed is 12.3 m/s and her body makes an angle of 80.5° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction. (a) Number (b) Number Units Units No units S m m/s m/s^2 4

A girl starts rowing across an H kilometers wide river as shown in the Fig- ure. She reaches across the river. The river flows at a constant speed of V horizontally. The girl starts rowing with velocity vo in the vertical direction. Find the displacement of the girl in the horizontal direction. エ ^>

Merchant's ship is sailing on the equator. During the sail, a container falls from the ship to the sea. The container sinks in the water until it reaches the sea's bottom at 7.5 km from the water surface. It is given that the container sinks at constant velocity of 10 m/s vertically down towards the bottom of the sea. What is the deflection (size and magnitude) between the point where the container has fallen from the ship and the point where the container hits the bottom of the sea? Select one: a. 409 m to the west b. 823 m to the west ○ c. 729 m to the east d. 75 m to the east e. 75 m to the west ○ f. 823 m to the east g. 729 m to the wast h. 409 m to the east

Question 4: Passengers on the deck of a boat with a speed of v, = 20 m/s with the given direction experience a wind blowing at a speed of vw = 10 m/s as shown. What is the magnitude of the wind speed experienced by someone on the shore? v, = 20 m/s 30° 45° V₁ = 10 m/s y X

A pitch is made with an initial velocity of magnitude of 14 m/s at an angle of 33° with the horizontal. Which of the following is the time it takes for the ball to reach the batter? * 33° 0.6 m 15.2 m O 0.36 s O 0.94 s O 1.29 s O 1.39 s

The nose of an ultralight plane is pointed south, and its airspeed indicator shows 27 m/s . The plane is in a 16 m/s wind blowing toward the southwest relative to the earth.  1) Letting x be east and y be north, find the components of Vp/E (the velocity of the plane relative to the earth). 2) Find the magnitude of Vp/E 3) Find the direction of Vp/E