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?

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) (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?
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Velocity is the 1st derivative of position.
Find that for each function, then set them equal and solve for t.

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