Problem 3 A pitching machine is knocked over so it launches a softball straight up with a velocity of 25. Use g=10m/s in any calculations needing g. Even though you are not given any numbers to the 0.1 place, please report your answers to it. (a) [13 pts] Draw the position, velocity, and acceleration vs. time graphs with as much information as possible. You will need to use the information you calculate from the following parts of the problem to label critical points on your graphs. Assume the ball leaves the pitching machine 2m above the ground. Start your graphs at that time. Your vertical scales can be approximate, as long as the important features are correct. a (b) [5 pts] What is the ball's peak height? When does this occur? (c) [5 pts] How long does the ball take to hit the ground? Remember that the ball didn't leave from the ground, it left from 2m above it - the trip up will be shorter than the trip down, but this difference will be tiny, as it does not take long to go 2m at these speeds.