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Calculus I Quiz
#6 March
23, 2004

Name____________________ R. Hammack Score
______

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(1) Find the following derivatives.

(a)

(b)

(c)

(2) An object moves on a straight line in such a way that
its distance from a stationary point at time t
seconds is given by the function
feet. At what time(s) t does
the object have a velocity of feet
per second?

Velocity at time t is
feet per second.

We seek the time at which velocity is -3 feet per second.

Such a time t must satisfy the following
equation.

Solving this, we get

Thus at times t =1 and t = 3 the object
has a velocity of -3 feet per second.