# instantaneous velocity problem!

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• Aug 13th 2009, 10:53 PM
yoman360
instantaneous velocity problem!
The displacement (in feet) of a certain particle moving in a straight line is given by $s = t^3/6$, where t is measured in seconds.
(a) Fins the average velocity over the following time periods.
(i) [1,3]
(ii) [1,2]
(iii) [1,1.5]
(iv) [1,1.1]

(b) Find the instantaneous velocity when t=1
• Aug 13th 2009, 11:05 PM
VonNemo19
Quote:

Originally Posted by yoman360
The displacement (in feet) of a certain particle moving in a straight line is given by $s = t^3/6$, where t is measured in seconds.
(a) Fins the average velocity over the following time periods.
(i) [1,3]
(ii) [1,2]
(iii) [1,1.5]
(iv) [1,1.1]

(b) Find the instantaneous velocity when t=1

For 1-4, find $V_a=\frac{s(b)-s(a)}{b-a}$

For b) find $V_i=s'(1)$

Average means secant, instantaneous means tangent.
• Aug 13th 2009, 11:12 PM
yoman360
Quote:

Originally Posted by VonNemo19
For 1-4, find $V_a=\frac{s(b)-s(a)}{b-a}$

For b) find $V_i=s'(1)$

Average means secant, instantaneous means tangent.

Thanks VonNemo for helping me with both of my questions. I'll try it and if I get it incorrect I'll be back
• Aug 13th 2009, 11:14 PM
VonNemo19
Quote:

Originally Posted by yoman360
Thanks...

...is only a click away.
• Aug 13th 2009, 11:33 PM
yoman360
Quote:

Originally Posted by VonNemo19
...is only a click away.

Thank you so much! I'm done(Rofl)
• Aug 13th 2009, 11:35 PM
VonNemo19
Quote:

Originally Posted by yoman360
Thank you so much! I'm done(Rofl)

(Yes)