Which statements describe the motion of a planet according to Kepler’s second law? Check all that apply. 1. The speed of a planet varies as it moves in its orbit.
2. The speed of a planet is constant as it moves in its orbit.
3. A planet travels the same distance along its orbit in equal units of time.
4. A planet sweeps out an equal area in equal units of time.
5. A planet’s orbit is a circle centered on the Sun.
6. A planet’s orbit is an ellipse with the Sun at one focus.

An inclined plane wrapped around a metal shaft is a a. lever b. screw c. pulley d. wedge

Asilver dollar is dropped from the top of a building that is 1324 feet tall. use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) determine the position and velocity functions for the coin. s(t) = v(t) = (b) determine the average velocity on the interval [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = ft/s (d) find the time required for the coin to reach the ground level. (round your answer to three decimal places.) t = s (e) find the velocity of the coin at impact. (round your answer to three decimal places.) ft/s

Avector a⃗ has a length of 8.6 m and points in the negative x direction. find the x component of the vector −3.7a⃗ .