Aparticle follows the path y = 3 ⋅ sin ⁡ ( π 8 x ) where x and y are in meters. problems 1-6 all refer to the instant that x = 4 and y = 3 m, with x velocity given as v x = d x d t = 3 ( m s ) and x acceleration x = d 2x dt 2 = 2 ( m s 2 ) at this time and location.

A2-kg bowling ball is 2.5 meters off the ground on a post when it falls. just before it reaches the ground, it is traveling 7 m/s. assuming that there is no air resistance, which statement is true?

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.15 times a second. a tack is stuck in the tire at a distance of 0.373 m from the rotation axis. noting that for every rotation the tack travels one circumference (a) find the tack's tangential speed. (b) what is the tacks radial acceleration?

Select the three ways that the parallel-plate capacitor differs from a car battery.