1. a pizza delivery man attempting to deliver some pizzas travels 8 km east, turns around and travels 3
km west, and then travels 12 km east to his destination. a. what distance has the delivery man
traveled? b. what is the delivery man total displacement?

Where is the potential energy throughout the loading, cocking, and releasing of the trebuchet?

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

Which form of cell division creates the sperm and egg, resulting in half of the chromosomes as the other cells?