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Let v(t) = t^2 - 3t be the velocity, in feet per second, of an object at time t,

ID: 3144325 • Letter: L

Question

Let v(t) = t^2 - 3t be the velocity, in feet per second, of an object at time t, in seconds. (a) What is the initial velocity? initial velocity = (b) When does the object have a velocity of zero? If there is more than time, list all answers in a comma separated list. t = seconds (c) What is the meaning of the quantity v(4) ? Select all that apply if more than one statement is correct. A. The object's velocity in 4 hours. B. How much the object has moved in 4 seconds. C. In how many hours will the velocity be 4 ft/sec. D. The average velocity of the object over the 4 second interval. E. In how many seconds will the object have moved 4 ft. F. The object's velocity in 4 seconds. G. None of the above

Explanation / Answer

a)

Initial velocity =v(0)=0

b)

We set v=0 and get

v=0=t^2-3t

giving ,t=0,3

c)

v(4) is object's velocity in 4 seconds