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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.