Particle Motion - Calculus
2 particles start at the origin and move along the x-axis. For 0

Question

Particle Motion - Calculus
2 particles start at the origin and move along the x-axis.  For 0<t<4, their respective position functions are given to be x1=ln(t^2) and x2=(t-5)^2.  For what value of t does the acceleration of x1 equal the velocity of x2?

precal · Answer

So I am taking the first derivative of x2 and the 2nd derivative of x1.  I am looking for their intersection

ganeshie8 · Answer

right

precal · Answer

Maybe I did not use my calculator correct the first time

precal · Answer

ok got it .470

ganeshie8 · Answer

doesnt look right,

there are no solutions it seems

ganeshie8 · Answer

http://www.wolframalpha.com/input/?i=%28%5Cln%28t%5E2%29%29%27%27+%3D+%28%28t-5%29%5E2%29%27%2C+0%3Ct%3C4