A simple pendulum of length 0.8 m swings such that the pendulum reaches the maximum speed in the positive direction at a time of 0.3 seconds. At 0.4 seconds, the pendulum is at an angle of 0.05 radians. Assuming a solution of the form theta (t) = A cos (omegaT + Phi).
1. Draw a graph of theta (t).
2. What is the amplitude of the pendulum?
3. What is the angular frequency of the pendulum?
4. What is the phase constant of the pendulum? (Hint, at maximum speed what is theta?)