Trinity is throwing a tennis ball up in the air from the ground. Trinity is 5 feet tall, and is throwing the ball straight up with an initial speed of 64 feet per second. 1. Trinity's friend Max is in an apartment building that is next to where Trinity is throwing the ball. He is taking action pictures of the ball from his window. Max is able to take pictures when the height of the ball is more than 50 feet above Trinity.
a. Write an inequality to represent this problem situation. Define your variables.
b. Determine the time period when Max will be able to take pictures of the ball. Explain your reasoning.
2. Max wants to set up his camera on a tripod and set it so that it takes a picture when the ball reaches its maximum height.
a. When will Max be able to take a picture of the ball? Explain your reasoning.
b. Consider that the camera height on the tripod is exactly 50 feet above where the ball was thrown, and the apartment building is 66 feet from Trinity. Determine the angle that the camera should be placed to be in direct line with the ball when it reaches its maximum height. Show your work.
3. Trinity decides to throw another ball in the air after the first ball. She wants to throw it when the first ball is less than 61 feet in the air, but not on the ground.
a. When should Trinity throw the second ball? Explain your reasoning.
b. Is any time period more reasonable than another? Explain your reasoning. Learning, Inc