The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t3 − 3t2 − 12t + 6 for t ≥ 0 (a) find the velocity and acceleration functions. v(t) = 6t2−6t−12 a(t) = 12t−6 (b) determine the time intervals when the object is slowing down or speeding up. (enter your answers using interval notation.)

Wavelength, frequency, and energy are related. what happens to a wave as it’s wavelength gets shorter?

Thomas his older brothers, who own a junk yard, on the weekends to earn extra money. he likes to them push broken-down cars to the back of the junk yard because it makes him feel strong. last saturday, they pushed three cars with different weights, and he noticed he used different amounts of force for each one. the cars were the following weights: white car: 2,700 kg red car: 1,500 kg blue car: 2,100 kg think about how much force is needed to move each car. which correctly lists the cars in order from the most to least amount of force needed to move them? a) white, blue, red b) blue, red, white c) red, white, blue d) white, red, blue

Four friends, a, b, c, and d are standing varying distances away from a speaker which is producing sound waves.