quiz 42

#$&*

course Mth 271

The velocity of an automobile coasting down a hill is given as a function of clock time by v(t) = .001 t^2 + .14 t + 1.8, with v in meters/sec when t is in seconds. Determine the velocity of the vehicle for clock times t = 0, 15 and 30 sec and make a table of rate vs. clock time.Sketch and label the trapezoidal approximation graph corresponding to this table and interpret each of the slopes and areas in terms of the situation.

*** I don’t know how to draw a graph on the computer.

@& You can list the quantities you labeled when you constructed the graph. I don't need to see graphs, I do need to see your descriptions or (in this case) the quantities you get from the graphs.*@

Evaluate the derivative of the velocity function for t = 22.5 sec and compare with the approximation given by the graph.

By how much does the antiderivative function change between t = 0 and t = 30 seconds, what is the meaning of this change, and what is the graph's approximation to this change?

V(0) = 1.8

V(15) = 4.125

V(30) = 6.9

Y’ = 0.002t + 0.14

Y’(0) = 0.14

Y’(15) = 0.17

Y’(30) = 0.2

t(22.5) = 0.1844

The antiderivative function changes by 6.9 - 1.8 = 5.1

It means that the velocity of the car is increasing with time.

@& You need to begin this by constructing the trapezoidal approximation graph and giving the results you obtain from that graph.*@

&#Please see my notes and, unless my notes indicate that revision is optional, submit a copy of this document with revisions and/or questions, and mark your insertions with &&&& (please mark each insertion at the beginning and at the end).

Be sure to include the entire document, including my notes.

If my notes indicate that revision is optional, use your own judgement as to whether a revision will benefit you.

&#