The velocity of an object is v(t) = 36 − t2 , 0 ≤ t ≤ 6 where v is measured in meters per second and t is the time in seconds. Find the velocity and acceleration of the object when t = 3. What can be said about the speed of the object when the velocity and acceleration have opposite signs?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.