1. The displacement (in meters) of an object at time t is given by f(t) =...

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1. The displacement (in meters) of an object at time t is given by f(t) = 12-21 where t is measured in seconds. a. Find the average velocity between t = 2.001 and t = 2. (2) b. Find the average velocity between t = 1.999 and 1=2. c. Using the limit definition of the derivative, find the instantaneous velocity of, v(t), the derivative of of f(t), at t=2, (i.e. do not estimate it with a table of values!). d. Find the equation of the tangent line at t = 2 and sketch it on the graph. 1. The displacement (in meters) of an object at time t is given by f(t) = 12-21 where t is measured in seconds. a. Find the average velocity between t = 2.001 and t = 2. (2) b. Find the average velocity between t = 1.999 and 1=2. c. Using the limit definition of the derivative, find the instantaneous velocity of, v(t), the derivative of of f(t), at t=2, (i.e. do not estimate it with a table of values!). d. Find the equation of the tangent line at t = 2 and sketch it on the graph.