Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a. A ball is thrown straight up with an initial velocity of 144 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 144t − 16t2. A. what is the average velocity of the ball over the following time intervals? Recall that the average velocity is just the difference quotient f(x+h)-f(x)/h [3,4] ft/sec [3,3.5] ft/sec [3,3.1] ft/sec B. what is the instantaneous velocity at time t=3

Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a. A ball is thrown straight up with an initial velocity of 144 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 144t − 16t2. A. what is the average velocity of the ball over the following time intervals? Recall that the average velocity is just the difference quotient f(x+h)-f(x)/h [3,4] ft/sec [3,3.5] ft/sec [3,3.1] ft/sec B. what is the instantaneous velocity at time t=3

Velocity of a Ball Thrown into the Air

The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a.

A ball is thrown straight up with an initial velocity of 144 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 144t − 16t².

A. what is the average velocity of the ball over the following time intervals? Recall that the average velocity is just the difference quotient f(x+h)-f(x)/h

[3,4] ft/sec

[3,3.5] ft/sec

[3,3.1] ft/sec

B. what is the instantaneous velocity at time t=3

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