CALC QUESTION: (Will medal)

An object moves along the x-axis with velocity of v(t) = t(sqrt(2t+3)) -3t

For which 't' is the object moving to the right?

Question

CALC QUESTION: (Will medal)

An object moves along the x-axis with velocity of v(t) = t(sqrt(2t+3)) -3t

For which 't' is the object moving to the right?

anonymous · Answer

Will I have to integrate?

anonymous · Answer

$$v(t) = t \sqrt{2t+3} - 3t$$

anonymous · Answer

$$\int\limits_{?}^{?}t \sqrt{2t+3} - 3t?????$$

misty1212 · Answer

HI!!

anonymous · Answer

Hi!

misty1212 · Answer

no $v$ is the velocity, same as speed except it can be positive or negative 
you are being asked where (for what value of $t$ ) is it positive

anonymous · Answer

Oh so I use the acceleration I found (second derivative)? Where would I go from there?

misty1212 · Answer

you are thinking too hard

misty1212 · Answer

if the velocity is positive, it is going to the right

anonymous · Answer

Should I plug in 0 to the velocity function?

misty1212 · Answer

$$t\sqrt{2t+3}-3t>0$$ solve for $t$

anonymous · Answer

Oh ok!

anonymous · Answer

I got t > 3. Thank you! (Hope this is right) ((I need to be more confident).