acceleration

Examples of acceleration in the following topics:

• Models Involving Nonlinear Systems of Equations

  • Consider, for example, a car that begins at rest and accelerates at a constant rate of $4$ meters per second each second.
  • When the first car begins to accelerate, the second car is $400$ meters ahead of it.
  • To determine where the cars are when they are alongside one another and how much time has passed since the first began to accelerate, we can algebraically solve the system of equations using substitution:

• The Intermediate Value Theorem

  • In a clearer example, when your car accelerates from 0 to 100 mph, at some point, even for a microsecond, your car is travelling at 21.5 mph.

• Scientific Applications of Quadratic Functions

  • The formula relates height ($h$) to initial velocity ($v_0$) and gravitational acceleration ($g$):