The point moves along the coordinate line according to the law S (t) = 7t ^ 2 + 5t-6.

The point moves along the coordinate line according to the law S (t) = 7t ^ 2 + 5t-6. at what moment in time the speed of the point is 12 m / s

1. The speed of a point is defined as the derivative of the path with respect to time.

Find the derivative of this function S (t) = 7t ^ 2 + 5t – 6.

v = S ’(t) = 2 * 7t + 5 = 14t + 5.

2. Find out at what moment in time the speed of the point is 12 m / s.

We compose and solve the equation:

14t + 5 = 12;

14t = 12 – 5;

14t = 7;

t = 7:14;

t = 0.5 (s).

Answer: 0.5 s.