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7) In the diagram below, a cart is released from rest at a distance x1 from...

7) In the diagram below, a cart is released from rest at a distance x1 from the first of two photogates. The cart then rolls down the ramp through both photogates. The distance between the photogates is x2. For this problem, you may assume that the cart is frictionless and the acceleration of the cart a = g sin θ.

a) If x1 = 20 cm, x2 = 50 cm, and θ = 20°, what is the average velocity of the cart between the photogates (over the distance x2)?

b) If x1 is reduced to 19 cm and everything remains the same, what is the average velocity of the cart between the photogates (over the distance x2)?

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