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

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