The origin is on flat ground, and the z-axis points upward. for time 0 ≤ t ≤ 10, a particle moves along a path given by ⃗r(t) = 2ti + 3tj + (100 − (t − 5)2 ) ⃗k. for what time(s) 0 ≤ t ≤ 10 is the particle at its highest point and what is its position then? for what time(s) 0 ≤ t ≤ 10 is the particle moving fastest? what is the fastest speed? for what time(s) 0 ≤ t ≤ 10 is the particle moving slowest? what is the slowest speed?

Which type of circuit is becoming more common in residential electrical design and construction? a. hazardous-area circuit b. three-phase circuit c. 480-volt circuit d. communication circuit

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

The direction of the current in an alternating current circuit remains constant. is direct. changes repeatedly. changes randomly.