Basic Kinematics Variables Using Calculus: the Position of an Object

question 49

Essay

Basic kinematics variables using calculus: 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:

Uniform Distribution

A type of probability distribution in which all outcomes are equally likely to occur.

Continuous Random Variable

A random variable that can take an infinite number of values within a given range.

Continuous Probability Distributions

Describes the distribution of possible values for a continuous random variable, where any value within an interval can be a possible outcome.

Continuous Random Variable

A variable that can take an infinite number of values within a given range.