Water is poured into a container that has a small leak. The mass m of the water is given as a function of time t by m = 5.00t^0.8 - 3.00t + 20.00, with t , ≥ 0, m in grams, and t in seconds. (a) At what time is the water mass greatest, and (b) what is that greatest mass? In kilograms per minute, what is the rate of mass change at (c) t = 2.00 s and (d) t = 5.00 s? ... https://www.youtube.com/watch?v=1yU-U7YxV2c

Discord server: https://discord.com/invite/8rVzwnKWkC Misc. channel: https://www.youtube.com/@KayTeeBee Twitch: https://www.twitch.tv/ktbmedia How much heat (in joules) is required to raise the temperature of 34.0 kg of water from 15°C to 95°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* 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=VbsKfucbtmc

If there is another problem from this textbook that you would like me to explain, please send me a request through the e-mail given in the channel description. If my videos have helped you, and you would like me to keep making more, please *consider* donating to my Patreon at the link in the channel description. Even a small amount of money can add up and support me immensely! My Venmo is also available in the channel description. As two trains move along a track, their conductors suddenly notice that they are headed toward each other. Figure 2-31 gives their velocities v as functions of time t as the conductors slow the trains. The figure’s vertical scaling is set by v_s = 40.0 m/s. The slowing processes begin when the trains are 200 m apart. What is their separation when both trains have stopped? ... https://www.youtube.com/watch?v=Xy5tyPLPB0A

The position function x(t) of a particle moving along an x axis is x = 4.0 - 6.0t^2, with x in meters and t in seconds. (a) At what time and (b) where does the particle (momentarily) stop? At what (c) negative time and (d) positive time does the particle pass through the origin? (e) Graph x versus t for the range -5 s to +5 s. (f) To shift the curve rightward on the graph, should we include the term +20t or the term -20t in x(t)? (g) Does that inclusion increase or decrease the value of x at which the particle momentarily stops? 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 at the link below. Even a small amount of money can add up and support me immensely! Discord server: https://discord.com/invite/8rVzwnKWkC Patreon: https://www.patreon.com/ktbmedia Twitter: https://twitter.com/KTBUpdates Instagram: https://www.instagram.com/kevinbarbuto/ Venmo: https://venmo.com/kevin-barbuto ... https://www.youtube.com/watch?v=_-XS8yw99hE