Question

the position of a particle moving along a coordinate line is , with s in meters and t in seconds. find the rate of change of the particle's position at sec.?

Answer 1

The rate of change of the particle's position at a specific second is 2.0 meters per second.

Step-by-step explanation:

The rate of change of the particle's position at a specific second can be found by taking the derivative of the position function with respect to time. In this case, the position function is given as s(t) = 4.0 + 2.0t, where s represents the position in meters and t represents the time in seconds. Taking the derivative of this function, we get the velocity function v(t) = 2.0, which represents a constant velocity of 2.0 meters per second. Therefore, the rate of change of the particle's position at any second is 2.0 meters per second.