PLEASE ANSWER
If a ball is thrown upward at 29.4 meters per second from the top of a building that is 80 meters high, the height of the ball can be modeled by S=4.9t^2 + 29.4t + 80 meters, where t is the number of seconds after the ball is thrown. What is the ball's maximum height (in meters)?

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.