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Jacobpm64
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A particle moves along a line so that its position at any time t>0 is given by the funciton s(t) = t^3 - 8t + 1, where s is measured in feet and t is measured in seconds.
(a) Find the displacement during the first 3 seconds.
(b) Find the average velocity during the first 3 seconds.
(c) Find the instantaneous velocity when t = 3.
(d) Find the acceleration of the particle when t = 3.
(e) At what value or values of t does the particle change direction?
Ok, this is pretty much just to check my answers because I'm paranoid.. Here are the answers i came out with..
(a) 4 ft
(b) 1 ft/s
(c) 19 ft/s
(d) 18 ft/s^2
(e) sqrt(8/3)s or 1.633333s
Is this correct?
Thanks
(a) Find the displacement during the first 3 seconds.
(b) Find the average velocity during the first 3 seconds.
(c) Find the instantaneous velocity when t = 3.
(d) Find the acceleration of the particle when t = 3.
(e) At what value or values of t does the particle change direction?
Ok, this is pretty much just to check my answers because I'm paranoid.. Here are the answers i came out with..
(a) 4 ft
(b) 1 ft/s
(c) 19 ft/s
(d) 18 ft/s^2
(e) sqrt(8/3)s or 1.633333s
Is this correct?
Thanks