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A dynamics cart carrying a black 10.0 cm strip accelerates uniformly and passes through two photogates. The time for the strip through the first photogate, time in Gate1, is 0.250 s and through the second photogate, time in Gate2, is 0.180 s.

(1) Determine the average velocity of the cart as the stripe passes through the first photogate.
(2) Determine the instantaneous velocity of the cart at the middle of this time
interval.
(3) Based on your answers to question 1 and 2, at what time is the average velocity equal to the instantaneous velocity?

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