Suppose that the velocity of a moving particle is given by v(t) = 3t2 - 12t (t i

Question

Suppose that the velocity of a moving particle is given by

v(t) = 3t2 - 12t (t is measured in seconds, velocity is measured in meters per second) and that its initial position is 7 meters. Given this information, find the following quantities (and label appropriately):

(a) The particle's position as a function of time.

(b) The particle's position after 2 seconds.

(c) The particle's distance from its starting point after 6 seconds.

(d) The total distance the particle traveled from 0 to 6 seconds. Please show your work

Explanation / Answer

a) t^3-6t^2+7

b)-9

c)0

d)32

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