A circular disk (like a CD, wheel, or galaxy disk), starting from rest, rotates with an angular acceleration given by a = (2 + 6t) rad/s?
a. Derive the expression for the angular speed as a function of time.
b. Derive the expression for the angle the wheel turns through a function of time.
c. Determine a, w and angular displacement att = 3 s.
d. If the disk has a radius of 3 m, determine the linear speed, and the radial, and tangential
components of the linear acceleration of a point on the rim of the disk at t=3 s.

A33.1 g copper object is launched from a 1.5 m 30° steel incline positioned on the floor by being pulled up a string attached to a 50.0 g mass suspended vertically over a pulley. the object is projected towards a glass table where it lands when it is at the point along its trajectory with the lowest speed. it comes to a halt when it clears the opposite edge of the table. it then falls and lands on 9 physics texts each 5 cm thick that are stacked on the floor on the opposite side of the table. assume that the table does not have a ledge and the rectangular object experiences 0.05 n of air resistance as it falls towards the books. how far and how long did the object travel and how fast does it hit the books. assume that at the moment the copper object leaves the incline, the massless string and ideal pulley break off

1.what is where an object is located 2. what is how fast an objects speed is changing 3. what is how fast an object is moving

The star betelgeuse is about 600 light-years away. if it explodes tonight, a. we'll know because debris from the explosion will rain down on us from space.b. we'll know it immediately because it will be brighter than the full moon in the sky.c. we won't know about it until 600 years from now.d. none of the above.