The position of a particle moving along an x axis is given by
x = 12t^2 - 2t^3, where x is in meters and t is in seconds. Determine (a)
the position, (b) the velocity, and (c) the acceleration of the particle at
t = 3.0 s. (d) What is the maximum positive coordinate reached by
the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is
it reached? (h) What is the acceleration of the particle at the instant
the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 3 s.
If you have any further questions, feel free to comment below. If you have a problem that you'd like me to cover in a future video, please send me a message about it, either through email or by joining my Discord server. All links are in the channel description.
https://discord.gg/yn7M74f4
...
https://www.youtube.com/watch?v=hOdc_QggJAk
Discord server: https://discord.com/invite/8rVzwnKWkC
Twitch: https://www.twitch.tv/ktbmedia
Estimate (a) how long it took King Kong to fall straight down from the top of the Empire State Building (380 m high), and (b) his velocity just before “landing.”
If there is another problem from this textbook or problem set that you would like me to explain, please send me a request. My e-mail is given in the channel description, and I've included other contact links below.
If my videos have helped you, and you would like me to keep making more, please *consider* donating to my Venmo or Patreon at the links below. Even a small amount of money can add up and support me immensely!
Twitter: https://twitter.com/KTBUpdates
Instagram: https://www.instagram.com/kevinbarbuto/
Venmo: https://venmo.com/kevin-barbuto
Patreon: https://www.patreon.com/ktbmedia
...
https://www.youtube.com/watch?v=4ATCEyBEpdU
Discord server: https://discord.com/invite/8rVzwnKWkC
Twitch: https://www.twitch.tv/ktbmedia
I show the derivation of Gauss' law from Coulomb's law. Technically, some professors would argue that you CAN'T derive Gauss' law from anything else, because it's considered one of the fundamental E&M laws as one of "Maxwell's equations" -- but historically, it was discovered this way.
Twitter: https://twitter.com/KTBUpdates
Instagram: https://www.instagram.com/kevinbarbuto/
...
https://www.youtube.com/watch?v=FufQwobDIBc
Instagram: https://www.instagram.com/ktbmedia/
Twitter: https://twitter.com/KTBUpdates
Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s, due to human reaction time at the start and stop moments. What is the percent uncertainty of a hand-timed measurement of (a) 5.5 s, (b) 55 s, (c) 5.5 min?
If there is another problem from this textbook or problem set that you would like me to explain, please send me a request. My e-mail is given in the channel description, and I've included other contact links below.
If my videos have helped you, and you would like me to keep making more, please *consider* subscribing. Even one person helps and supports me immensely. :)
Discord server: https://discord.com/invite/8rVzwnKWkC
Misc. channel: https://www.youtube.com/@KayTeeBee
Twitch: https://www.twitch.tv/ktbmedia
...
https://www.youtube.com/watch?v=oYQrA9v6L90
Discord server: https://discord.com/invite/8rVzwnKWkC
Twitch: https://www.twitch.tv/ktbmedia
(a) Find the angular speed of Earth’s rotation about its axis. (b) How does this rotation affect the shape of Earth?
If there is another problem from this textbook or problem set that you would like me to explain, please send me a request. My e-mail is given in the channel description, and I've included other contact links below.
If my videos have helped you, and you would like me to keep making more, please *consider* subscribing. Even one person helps and supports me immensely. :)
Twitter: https://twitter.com/KTBUpdates
Instagram: https://www.instagram.com/kevinbarbuto/
...
https://www.youtube.com/watch?v=nPkTTPY5Fuk
Discord server: https://discord.com/invite/8rVzwnKWkC
Twitch: https://www.twitch.tv/ktbmedia
Find the change in volume of an aluminum sphere with an initial radius of 10 cm when the sphere is heated from 0.0°C to 100°C.
If there is another problem from this textbook or problem set that you would like me to explain, please send me a request. My e-mail is given in the channel description, and I've included other contact links below.
If my videos have helped you, and you would like me to keep making more, please *consider* donating to my Venmo or Patreon at the links below. Even a small amount of money can add up and support me immensely!
Twitter: https://twitter.com/KTBUpdates
Instagram: https://www.instagram.com/kevinbarbuto/
Venmo: https://venmo.com/kevin-barbuto
Patreon: https://www.patreon.com/ktbmedia
...
https://www.youtube.com/watch?v=8_DqAIyxJmA
Twitter: https://twitter.com/KTBUpdates
Patreon: https://www.patreon.com/ktbmedia
American football uses a field that is 100.0 yd long, whereas a soccer field is 100.0 m long. Which field is longer, and by how much (give yards, meters, and percent)?
If there is another problem from this textbook or problem set that you would like me to explain, please send me a request. My e-mail is given in the channel description, and I've included other contact links below.
If my videos have helped you, and you would like me to keep making more, please *consider* subscribing. Even one person helps and supports me immensely. :)
Discord server: https://discord.com/invite/8rVzwnKWkC
Main channel: https://www.youtube.com/@KayTeeBee
Twitch: https://www.twitch.tv/ktbmedia
Instagram: https://www.instagram.com/ktbmedia/
...
https://www.youtube.com/watch?v=ATWrHKQUaSM
Discord server: https://discord.com/invite/8rVzwnKWkC
Twitch: https://www.twitch.tv/ktbmedia
Light travels at a speed of about 3 x 10^8 m/s. (a) How many miles does a pulse of light travel in a time interval of 0.1 s, which is about the blink of an eye? (b) Compare this distance to the diameter of Earth.
If there is another problem from this textbook or problem set that you would like me to explain, please send me a request. My e-mail is given in the channel description, and I've included other contact links below.
If my videos have helped you, and you would like me to keep making more, please *consider* subscribing. Even one person helps and supports me immensely. :)
Twitter: https://twitter.com/KTBUpdates
Instagram: https://www.instagram.com/kevinbarbuto/
...
https://www.youtube.com/watch?v=f2cVpSNrFvo
Explain, on the basis of conservation of momentum, how a
fish propels itself forward by swishing its tail back and forth.
...
https://www.youtube.com/watch?v=2eqfabxGv6M