Question

X=10+5t-0,5t2 найдите модуль скорости тела в момент времениt=10 с

Answer 1

Берем первую производную: V=5-t   V=5-0,5*10=0 м/с

Answer 2

I can help you with this physics problem. The equation x(t) = 10 + 5t - 0.5t2 describes the motion of a body with a constant acceleration of -1 m/s2 and an initial velocity of 5 m/s. To find the speed of the body at a given time, we need to find the derivative of the position function, which is v(t) = 5 - t. Then, we plug in the value of t = 10 s and get v(10) = 5 - 10 = -5 m/s. The negative sign means that the body is moving in the opposite direction of the positive x-axis. The modulus of the speed is the absolute value of the velocity, which is |v(10)| = |-5| = 5 m/s. Therefore, the speed of the body at t = 10 s is 5 m/s. You can find more details and examples of similar problems on the websites [1](https://uchi.ru/otvety/questions/x-10-5t-05t2-naydite-modul-skorosti-tela-v-moment-vremenit-10-s), [2](https://online-otvet.ru/fizika/5cea76b396f4e19a29fec5e2), and [3](https://uchitel.pro/%d0%b7%d0%b0%d0%b4%d0%b0%d1%87%d0%b8-%d0%bd%d0%b0-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%bb%d0%b8%d0%bd%d0%b5%d0%b9%d0%bd%d0%be%d0%b5-%d1%80%d0%b0%d0%b2%d0%bd%d0%be%d1%83%d1%81%d0%ba%d0%be%d1%80%d0%b5/). I hope this helps you understand the concept better.