SOLUTION: The positions of 2 particles moving along the 𝑥-axis are 𝑥1(𝑡) = 3𝑡^2 + 7𝑡 and 𝑥2(𝑡) = −𝑡^2 + 23𝑡 − 4. When do the particles have the same velocity?

Algebra ->  Equations -> SOLUTION: The positions of 2 particles moving along the 𝑥-axis are 𝑥1(𝑡) = 3𝑡^2 + 7𝑡 and 𝑥2(𝑡) = −𝑡^2 + 23𝑡 − 4. When do the particles have the same velocity?      Log On


   



Question 1148800: The positions of 2 particles moving along the 𝑥-axis are 𝑥1(𝑡) = 3𝑡^2 + 7𝑡 and 𝑥2(𝑡) = −𝑡^2 + 23𝑡 − 4. When do the particles have the same velocity?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The positions of 2 particles moving along the 𝑥-axis are 𝑥1(𝑡) = 3𝑡^2 + 7𝑡 and 𝑥2(𝑡) = −𝑡^2 + 23𝑡 − 4. When do the particles have the same velocity?
=================
Velocity is the 1st derivative of position.
Find that for each function, then set them equal and solve for t.