Question

S=18t+3t² залежчність v від t​

Answer 1

Ответ:

v=6t+18

Объяснение:

Скорость есть производная пройденного пути по времени. Значит v=dS/dt; v=(3t^2+18t)'=6t+18.

Answer 2

To find the dependence of velocity (v) on time (t) when the position (S) is given by S = 18t + 3t², we need to differentiate the position function with respect to time. The derivative of S with respect to t will give us the velocity function. Let's find it.

S = 18t + 3t²

Taking the derivative of S with respect to t:

dS/dt = d(18t)/dt + d(3t²)/dt = 18 + 6t

Therefore, the velocity function (v) is given by:

v = dS/dt = 18 + 6t

So, the dependence of velocity (v) on time (t) is v = 18 + 6t.