Help instaneous velocity

  • Thread starter sammiyahc0
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  • #1
The position of a particle moving in a straight line during a 10–second trip is s(t) = 3t2 − 3t + 5 cm.Find a time t at which the instantaneous velocity is equal to the average velocity for the entire trip.
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  • #2
Average velocity = (x2 - x1)/Δt

How do you find instantaneous velocity?
  • #3
the derivative
  • #5
The position. x2 - x1 is the change in position. Your object starts at one point, and ten seconds later, it's somewhere else. That somewhere else is x2.
  • #6
sammiyahc0 said:
what does x represent?
Your "s". The average speed, between t= 0 and t=10, is (s(10)- s(0))/(10 - 0). Calculate that, set it equal to s'(t) and solve for t.

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