boat aims to cross a river as fast as possible. The river flows at 3 m/s  and the boat’s speed is 5 m/s.  The river is 500m across.   Which direction should the boat point to, and how far down or up-river will the boat land?

You threw a tennis ball from a balcony 4.0 m above the ground upward at 40 degrees above horizontal with an initial speed of 5.0 m/s. How far did it land horizontally away from you?

The operator of a boat wishes to cross a 5-km wide river that is flowing to the east at 10 m/s. He wants to reach the exact point on the opposite shore 15 min after starting. With what speed and in what direction should the boat travel?

If you are standing on the free-throw line on a basketball court, the basket is about 4.5 m horizontally from you and it is located around 3m above the floor. What initial velocity vector is required to successfully throw the ball into the basket?

A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 5.20 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction.  A) What direction should the dolphin head? Enter the angle in degrees where positive indicates south of west and negative indicates north of west. (in degrees) B) How long does it take for the dolphin to swim the 0.800-km distance home? (In min)

An arrow has an initial velocity of 32 m/s, 30° to the horizontal. a) Find the time it takes for the arrow to reach the ground if it is shot from an original height of 22 m. (G.R.A.S.S.) b) What is the horizontal displacement of the arrow in this amount of time? (G.R.A.S.S)

A boat whos speed in still water is 5.0m/s headed west across a river. The river current is 2.5m/s south. If the river is 2395 wide, how long does it take the boat to cross the river.

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?

Can you help me with this problem?A star football players kicks a football at a 53.3 degree angle with a speed of 15.2 m/s towards the directions of a wall exactly 21 m away. How high does the football hit on the wall?