A. Ball Drop Exercise 1. As part of the Ball Drop experiment, you will use LoggerPro to fit data for the position of the ball (y) as a function of time (t) during free fall to a quadratic function; specifically: y = At + Bt + C where A, B and C are constants (the curve fitting parameters). a) Write the SI units for each of the constants in the space next to the constant: A: B: C: (Hint: you know that the units for position (y) are meters and for time (t) are seconds, so try to use this information to deduce what must be the units of each constant in the equation above). b) Name a physical quantity that has the same units as you wrote above for each of the constants: A: B: C: 2. The vertical component of the velocity of a bouncing ball as a function of time is shown in the graph below. -The positive y direction is vertically up. vy (m/s) 9.0 6.0 -The ball deforms slightly while it is in contact with the ground. 3.0 10 0 -3.0 - 6.0 -9.0 05 15 20 5 30 4/0 t(s) a) Identify two instances of time at which the ball is at its maximum height and write them below. Do not include "t=0s" in your answer. HINT: Velocity is a vector - what does a positive velocity mean about the direction the ball is moving? What does a negative velocity mean? The 2 points of maximum highet are at 1.1 seconds and 4.5 seconds b) Calculate the acceleration of the ball WHILE IT IS IN THE AIR. Remember, acceleration is a vector and it has units. SHOW ALL WORK here: c) Calculate the acceleration of the ball WHILE IT IS IN CONTACT WITH THE FLOOR. Remember, acceleration is a vector and it has units. SHOW ALL WORK here: d) Using the area under the Velocity-Time graph, calculate the maximum height above the floor that the ball reaches. Be sure to only utilize the portion of the Velocity-Time graph that corresponds to the ball in free fall. SHOW ALL WORK here: