A student sees her physical science professor approaching on the sidewalk that runs by her dorm. She gets a water balloon and waits. When the professor is 2.0 s from being directly under her window 11 m above the sidewalk, she drops the balloon. You finish the story.

A prankster flips a coin off of the Empire Building at a height of 1054 feet above the ground. The initial vertical velocity of the coin is 1.20m/s. In real life, air resistance would limit the maximum speed the coin can attain during its fall, but if air resistance were not a factor and assuming it has practically no horizontal motion, answer the following questions. (1 foot = 0.3048m) a. What would the coin's velocity be when it hits the ground? b. How long would it take to hit? c. How high would the coin be halfway through the total falling time, and how fast would it be falling then?

Let W = (x²y, y³z, xyz). Determine V.Ŵ.

Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?