Given vector has a magnitude of directed above the axis, and vector has a magnitude of directed above the axis, calculate .

A cannon is packed with gunpowder and a ball of mass 10kg. The cannon is angled at 30 degrees. When fired, the gunpowder releases 500J of energy, which is all transferred to the cannon ball. Neglecting air resistance and friction within the cannon, how far does the ball travel before hitting the ground?

Assume

The position of a particle can be described by:

The position is measured in , and the time is in . What is the average velocity for the particle in the time interval ?

Imagine a decending elevator that is increasing it's speed. What is the direction of the acceleration of the elevator?

A box is placed on a 30o frictionless incline. What is the acceleration of the box as it slides down the incline?

An object travels with a velocity for a period of time . Its velocity is instantaneously changed to a second velocity at which it travels for a period of time .

What is the correct expression for the object's average velocity during the entire two-part motion?

A walker is walking at a constant rate of on a circular track that is 400m in length. A runner is also on the track going in the same direction as the walker, running at an unknown constant speed. The runner and the walker are together, then meet each other again when the walker has completed of a lap, or 200m. What is the runner's speed?

A woman with a jet pack is above the ground. She drops a ball. If she waits until after she dropped the ball to accelerate downward to try and catch it, how fast will she have to accelerate to reach it at a height of ?

A car is stopped at a red light. When the light turns green, it accelerates uniformly at a rate of . How fast is the car traveling after seconds?

Two cars are racing side by side on a perfectly circular race track. The inner car is from the center of the track. The outer car is from center of the track.

If the outer car accelerates from to , determine the angular acceleration.