Math

A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by
v(t) = 3t sqrt(64−t^2)
(0 ≤ t ≤ 8).
Find the distance traveled by the car in the 8 sec from t = 0 to t = 8.

  1. 👍 0
  2. 👎 0
  3. 👁 522
  1. distance is

    ∫[0,8] 3t√(640t^2) dt
    = 512

    1. 👍 0
    2. 👎 0

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