How do you solve for the rate of change in algebra?

Answer 1

The rate of change is often with respect to time t. suppose that d denotes the displacement of a particle, at time t, then you can find the speed with this formula:

d=rt, then to solve for r we divide both sides by t and have d/t=r

In mathematics, it is useful to distinguish between velocity and speed. First, when considering motion of a particle in a straight line, specify a positive direction so that it is a directed line. Then the velocity of the particle is positive if it is moving in a positive direction and negative if it is moving in a negative direction. The speed of the particle is the absolute value of its velocity. In more advanced work, when the velocity is a vector v, the speed is the magnitude |v| of the velocity.