6. A particle moves in a straight line according to S = t 3 – 6t 2 + 9t, the units being feet and seconds. Locate the particle with respect to its position (at point A) when t = 0.5 second, find its direction and velocity, and determine whether its speed is increasing or decreasing at t = 4 seconds. A. 3.125 feet to the right of A; moving to the right with v = 3.75 feet per second; increasing B. 0.875 feet to the right of A; moving to the right with v = 9 feet per second; increasing C. 3.125 feet to the right of A; moving to the right with v = 3.75 feet per second; decreasing D. 0.875 feet to the right of A; moving to the right with v = 9 feet per second; decreasing
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6. A particle moves in a straight line according to S = t 3 – 6t 2 + 9t, the units being feet and seconds. Locate the particle with respect to its position (at point A) when t = 0.5 second, find its direction and velocity, and determine whether its speed is increasing or decreasing at t = 4 seconds.
A. 3.125 feet to the right of A; moving to the right with v = 3.75 feet per second; increasing
B. 0.875 feet to the right of A; moving to the right with v = 9 feet per second; increasing
C. 3.125 feet to the right of A; moving to the right with v = 3.75 feet per second; decreasing
D. 0.875 feet to the right of A; moving to the right with v = 9 feet per second; decreasing
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