In a cartoon program, Peter tosses his baby, Stewie, up into the air to keep the child entertained. Stewie reaches a maximum height of0.676mabove the release point. Suppose the positiveyaxispoints upward.

1. With what initial velocity was Stewie thrown? (Express your answer in vector form.)

The position of a particle attached to a vertical spring is given by y = (yo cos wt)j . The y axis points upward, yo = 15.3 cm, and w = 22.50 rad/s. (a) Find the displacement of the particle during the time interval from t = 0 to t = 8.1 s. (Round your answer to the nearest integer.) 0.0118 X Consider carefully whether the correct answer is exactly zero, or just a very small number. mA particle moves from position A to position C as shown in the figure below. Two different coordinate systems have been chosen. Write expressions for the particle's displacement from A to C using the following coordinate systems. B -9-8-7- 6-5- + x (m) 4 5 67 8 3 2 1 8 1 2 3 4 3 8 7 8 9 10 1 1 12 13 14 + z (m) (a) the top coordinate system (Express your answer in vector form.) AX = 10 m XThe figure shows the y-position (in blue) of a particle versus time. y (m) 20 16 12 8 4 - t ( s ) (a) What is the average velocity of the particle during the time interval t = 1.50 s to t = 4.00 s? (Express your answer in vector form.) m/s (b) Using the tangent to the curve (shown as the orange line in the figure), what is the instantaneous velocity of the particle at t = 1.50 s? (Express your answer in vector form.) m/s c) At what time is the velocity of the particle equal to zero