The Position of an Object as a Function of Time

question 42

Short Answer

The position of an object as a function of time is given by x(t) = at³ - bt² + ct - d, where
a = 3.6 m/s³, b = 4.0 m/s², c = 60 m/s and d = 7.0 m.
(a) Find the instantaneous acceleration at t =2.4 s.
(b) Find the average acceleration over the first 2.4 seconds.

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Definitions:

Forecast

A prediction about future events or trends, often based on historical data and analysis, used in planning and decision-making processes.

Moving Average

An analytical process in statistics where different segments of the entire data set are averaged to examine data points.

Week

A time period consisting of seven consecutive days.

Time Series

An array of data elements, usually made up of ongoing recordings measured throughout a specific duration.