12. A balloon is rising at a vertical velocity of 4.9 m/s. At the same time, it is drifting horizontally with a velocity of 1.6 m/s. If a bottle is released from the balloon when it is 9.8 m above the ground, determine the following. (a) the time it takes for the bottle to reach the ground (b) the horizontal displacement of the bottle from the balioon.

7. A basketball player is running at 4.80 m/s directly toward the basket when he jumps into the air to dunk the ball. He maintains his horizontal velocity. (For each answer, enter a number.) (a) What vertical velocity (in m/s) does he need to rise 0.750 meters above the floor? m/s (b) How far (in m) from the basket (measured in the horizontal direction) must he start his jump to reach his maximum height at the same time as he reaches the basket? m Submit Opcwor

3. The bireme was an ancient ship used by the Phoenicians and other peoples associated with the Ancient Mediterranean world. The velocity of a particular bireme is the resultant of 3 velocities: The velocity created by the movement of its oars in still water, which is 4 km/h N 30° E. The velocity created by the wind hitting the sail in still water at 9 km/h N 17° W. The ship is also experiencing a 2 km/h current flowing due East. What is the resultant velocity of the ship (including direction)?

4. A friend tosses a baseball out of his second-floor window with an initial velocity of 4.3 m/s (42° below the horizontal). The ball starts from a height of 3.9 m, and you catch the ball 1.4 m above the ground. u M A (a) Calculate the time the ball is in the air. [ans: 0.48 s] (b) Determine your horizontal distance from the window. [ans: 1.5 m] (c) Calculate the speed of the ball as you catch it. [ans: 8.2 m/s]