Question

S=6t+2t(в квадрате) найдите скорость в 3 секунды

Answer 1

Ответ:

s=v0t+at²/2 => по s=6t+2t² v0=6м/с a=4м/с² t=3c

v=v0+at=6+4*3=18м/с

Объяснение:

Ответ:v=18м/с

Answer 2

Finding the Velocity at 3 Seconds

To find the velocity at 3 seconds, we need to differentiate the given equation for displacement with respect to time and then substitute t = 3 into the resulting expression.

The given equation for displacement is S = 6t + 2t^2.

To differentiate S with respect to t, we can use the power rule of differentiation. The power rule states that if we have a term of the form t^n, the derivative is given by n*t^(n-1).

Differentiating S = 6t + 2t^2, we get:

S' = 6 + 2*2t = 6 + 4t.

Now, we can substitute t = 3 into S' to find the velocity at 3 seconds:

S'(3) = 6 + 4*3 = 6 + 12 = 18.

Therefore, the velocity at 3 seconds is 18 units per second.