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Calculus

Velocity, Speed, and Other Rates of Change

QuestionAnswer
Average Velocity body moving along a line from position s=f(t) to position s+[change]s=f(t+[change]t) is(Displacement(speed)/Travel time(time)=(f(t+[change]t-f(t))/[change]t)
Instantaneous Velocity derivative of position, or distance. if the position function of a body moving along a line is s=f(t), the body's (instantaneous) velocity at times t isds/dt=lim[t->t](f(t+[change]t)-f(t)/[change]t))
speed aboslute value of velocity
acceleration derivative of velocity. if a body's position at time t is s=f(t), then the body's acceleration at time t is a=(dv/dt)=(d(2)s/dt(2))
rates of change the average rate of change of a function f(x) over the interval from x to x+h is...ave. roc= f(x+h)-f(x)/h
Created by: chem29