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1.Refer to the graph and answer the following questions:

472_Acceleration Graph.png

· When does the object have a positive acceleration?

· When does the object have a negative acceleration?

· Graph the position and acceleration curves. Assume the object starts at so = 0 m

2. A frictionless cart with a person in it is released from rest at the top of an inclined plane. The plane is inclined 30o. Find the distance the cart travels in 3 seconds. Show the graph for position, velocity and acceleration.

3. Consider the same scenario as question 2. After 5 seconds have passed, a safety mechanism is activated by the person in the cart. This mechanism slows down the cart until a complete stop. The brakes on the cart provide a deceleration of 6.9?? when ??2 the cart is not on an inclined surface. Calculate the necessary distance for the cart to come to a complete stop and the total distance the cart traveled. Show the graph from the moment the cart was released until it came to a complete stop.

 

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