Two players, Amy and Beth, play the following game with a jar containing 100 pennies. The players take turns -- Amy goes first. Each time it is a player's turn, she takes between 1 and 10 pennies out of the jar. The player who empties the jar wins. a. If both players play optimally, who will win the game? b. What are the optimal strategies for each player?

Steelhead trout migrate up stream to spawn.occasionally they need to leap up small waterfalls to continue their journey. fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8.0 m/s. a. what is the maximum height a steelhead trout can jump? b.leaving the water at 8.0 m/s, the trout lands on top of the water fall 1.8 m high. how long was it in the air?