2012 Porsche 911 Carrera S Cabriolet PDK
Icon raper from Chicago, Illinois, Kanye West, decides to give his new porsche a test ride before he purchases it. The 2012 Porsche 911 Carrera accelerates at 3.8 meters per second squared. The porsche's starting velocity is 5 m/s. At what rate is Kanye's acceleration changing at t = 5 seconds?
STEP ONE: CREATE EQUATION
When dealing with acceleration it is important to know the constant velocity equation. The acceleration and the initial velocity are already given. With these two factors we can then plug the "a" and "Vo" into the equation.
STEP two: Define rule Needed and solve
When finding the rate at which acceleration is changing at a specific time, we must find the derivative equation of the function. The following function is a power function that describes the vehicles velocity in respect to acceleration. In order to find the derivative of a power function we must use the "power rule". Once we find the derivative function we can then plug in 5 to find the rate at which the acceleration is changing at t = 5 seconds.