a) Dr. Liu is learning how to juggle. He tosses a tennis ball(probably bad choice since it is so bouncy) up at 1.6 m/s at aheight 1.6 m above the floor and attempts to use the other hand tocatch the falling ball. The ball hit the floor at his feet. Howlong was Dr. Liu's tennis ball in the air (between tossing andlanding)? Ignore air drag. He should probably practice tossing hisjuggling ball at the same height and the same speed beforeattempting to juggle. Hint: You can set the final position to bezero.

b) In a medieval castle siege reenactment, a castle defenderthrew down a \"stone\" (made of soft materials) with all his might,achieving an initial speed of 7 m/s downward. The castle was 7.5 mtall. How long will the attacker have before the \"stone\" hit theground? You can assume the final position to be zero. The \"stone\"has a negligible amount of air drag. Hint: the \"stone\" has adownward initial velocity.

c) A careless painter dropped a brush (with paint!) from ascaffold outside a building he's supposed to paint. You were justrecording a selfie video across the street and caught the fallingbrush in your video. You used your physics skills to figure out thepaintbrush was falling at 6.5 m/s when it was just passing the topof a window that you estimated at 4.6 m above the ground. How longdid it take the brush to fall from that height to the ground andmake a colorful splash? You can assume the final position to bezero. The paintbrush has a negligible amount of air drag. Hint: thepaintbrush has a downward initial velocity at the height youestimated.