Jimmy "Butterfingers" James is a stuntman that jumps off of buildings for a living. He was jumping off a building for an upcoming movie when he dropped the closed umbrella he was holding. If he was travelling at 15.6 m/s when he let go of the umbrella, (1) from what height (distance) did the umbrella fall if it took 1.25 seconds to hit the ground and (2) what was the velocity of the umbrella just before it hit the ground? Note: Show your work and proper units, and write your answers to 3 sig figs. Also, keep all numbers positive

Explain using examples, what is simple harmonic motion and why it is an important area of study in physics.

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".

What is the gravitational attraction between a dating couple whose centers of mass are 0.630 m apart if the boy weighs 715 n and the girl weighs 465 n?