find all t where velocity is decreasing for t greater/= 0

[math]

using position equation s(t) = 3x-x^3 find where velocity is decreaing for t greater than or equal to 0.
this is confusing me b/c its saying find where velocity is increasing, not where is position increasing

i found velocity equation v(t) = 3-3x^2
a(t)=-6x
a(t) = 0 when x = 0
velocity is decreasing for all t greater than or equal to 0

is this right?

ps: sorry i mixed x and t in the post

thanks!!

 

[soroban]

Re: find all t where velocity is decreasing for t greater/=

Hello, math!

Using position equation: \(\displaystyle s(t)\:=\:3t-\,\.t^3\)
find where velocity is decreasing for \(\displaystyle t\,\geq\,0\)

This is confusing me b/c it's saying: find where velocity is increasing,
not where is position increasing

I found velocity equation: \(\displaystyle \,v(t)\:=\:3\,-\,3t^2\)
\(\displaystyle a(t)\:=\:-6t\)
\(\displaystyle a(t)\:=\:0\) when \(\displaystyle t\,=\,0\)

velocity is decreasing for all \(\displaystyle t\,\geq\,0\)

Is this right?

Yes . . . you nailed it!

 

[math]

thanks soroban!!