Fall Final Review 1

A river flows due east at $$1.5\ \text{m/s}$$ . A boat leaves the north shore of the river and heads due south at $$2.0\ \text{m/s}$$ as shown in the diagram. What will be the resultant velocity of the boat?

What is the total displacement, to the nearest tenth, of a car that travels $$35\ \text{km}$$ north, then $$20\ \text{km}$$ east?

A pirate is trying to find his treasure based on a map he drew. He walks $$39\ \text{m}$$ east and $$80\ \text{m}$$ north. What is the magnitude of his resultant displacement?

Starting from one shore, you row a boat across a narrow river to the shore on the other side. The river is 35.0 m wide. As you row, the river current causes your boat to move down the river a distance of 50.0 m. What is the resultant displacement of your boat? Determine the magnitude of the displacement.

Starting from one shore, you row a boat across a narrow river to the other shore. The river is 35.0 m wide. As you row, the river current causes your boat to move down the river a distance of 45.0 m. What is the resultant displacement of your boat? Determine the magnitude of the displacement.

A person rows a canoe across a river that is 45.0 m wide. Using the GPS on her phone, she determines the resultant displacement is 61.0 m. How far down the river did the current move her canoe?

At a stunt show, a motorcycle rider launches off a ramp with an initial horizontal velocity of 30 m/s and an initial vertical velocity of 20 m/s. Neglecting air resistance, what is the range of the jump?

A soccer player kicks a ball with an initial vertical velocity of 15 m/s and an initial horizontal velocity of 8 m/s. What is the hang time of the ball?

A baseball is thrown horizontally off a 45.0-m high stadium wall and lands a distance of 60.0 m from the base of the wall. Determine the time it takes for the baseball to hit the ground.

A toy car rolls off a 1.2-m high ramp with a horizontal velocity of 4 m/s. If it takes 0.50 s to hit the ground, what is the horizontal distance it travels?