Answer:
(a) velocity function: 3t² - 12
(b) acceleration function: 6t
(c) the particle is moving forward when t > 2
(d) the particle is moving backward when t < 2
(e) the particle travels -9 m
Explanation:
position: s(t) = t³ − 12t + 3.
(a) by definition, velocity = ds/dt = 3t² - 12
(b) by definition, acceleration = d²s/dt² = 6t
(c) A particle moves forward when its velocity is positive. That is:
3t² - 12 > 0
3t² > 12
t² > 12/3
t² > 4
t > 2
(d) A particle moves backwards when its velocity is negative. That is:
3t² - 12 < 0
3t² < 12
t² < 12/3
t² < 4
t < 2
(e) The distance is computed as follows:


![3^3 - 12(3) - [ 0^3 - 12(0) ]](https://tex.z-dn.net/?f=3%5E3%20-%2012%283%29%20-%20%5B%200%5E3%20-%2012%280%29%20%5D%20)
-9
Measuring the distance to many distant galaxy with a standard candle technique.
Hubble presented the observational evidence for one of science’s greatest discoveries—the expanding universe. Hubble showed that galaxies are receding away from us with a velocity that is proportional to their distance from us: more distant galaxies recede faster than nearby galaxies.
A redshift is an increase in the wavelength, and corresponding decrease in the frequency and photon energy, of electromagnetic radiation.
The standard candle technique is particularly valuable when studying very distant objects. Eventually, the effects of parallax stop working because things get too far away. However, since a standard candle depends on the inverse square law, it can reach much further as a result.
As long as we have instruments that can detect a standard candle and measure its brightness, it can be used to measure a distance.
therefore before measuring the recission velocity one must use standard candle technique to eliminate any parallax
learn more about parallax here:
brainly.com/question/1394541
#SPJ4
Answer:
You should still use the app if you need it, but you definitely shouldn't rely on it. It's really good for what it is, but it's not an alternative to actually taking the test, just imagine what you would have gotten if you didn't use this
Explanation:
It becomes a positive Iron