Classical Mechanics

1. Starting with the left-most column, populate the boxes from left to right without skipping empty boxes. Ties should be grouped in the same box. Rank the magnitude of a given particle's average acceleration, from smallest to largest, as interpreted from the following velocity vs. time graphs describing motion.

2. Displacement is:
a) the distance traveled from the first position to the final position
b) the distance from the origin to the final position
c) the change of the position vector from the first position to the final position
d) the vector from the origin to the final position

3. A crate of oranges weighing 127 N rests on a flatbed truck 1,47 m from the back of the truck The coefficients of friction between the crate and the truck are u(s) = 0.256 and u(k) = 0.161. The truck drives a straight , level highway at a constant 4.6 m/s.
a) What is the force of friction acting on the crate?
b) If the truck speeds up with an acceleration of 1.63 m/s^2, what is the force of the friction on the crate?
c) What is the maximum acceleration the truck can have without the crate starting to slide?

4. A bicycle travels 3.3 km due east in 0.78 hours, then 4.4 km at 13.5 degrees east of north in 0.52 hours and finally another 2.0 km due east in 0.60 hours to reach its destination. The time lost in turning is negligible. What is the average velocity for the entire trip?