Suppose That a Baseball Is Tossed Straight Upward and That

question 196

Essay

Suppose that a baseball is tossed straight upward and that its height (in feet) as a function of time (in seconds) is given by the formula h(t) = 128t - 16t².
(a) Find the instantaneous velocity and acceleration of the baseball at time t.
(b) What is the maximum height attained by the ball?
(c) What is the average velocity of the ball during the time interval from t = 1 to t = 4?
(d) How long does it take before the ball lands?
(e) At what time is the height of the ball 112 feet?

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Definitions:

Probability

A quantitative measure of the likelihood of a certain event or outcome, expressed as a number between 0 and 1.

Return

The profit or loss derived from an investment over a particular period, often expressed as a percentage of the investment's initial cost.

Inflation

The velocity of rise in the aggregate pricing of goods and services, reducing the power of the dollar.