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Question 1: The speed of a particle moving along the x axis of the (x, y) plane is v = (14 - 8t + t²)m/s, where t is in seconds. Calculate the average acceleration from t = 2 to t = 4s.

Question 2: If R is the radius of the Earth, at what height above the surface of Earth is the free-fall acceleration equal to .098m/s²?

Question 3: A satellite circles planet X in an orbit having a radius of 10⁸m. If the radius of planet X is 10⁷m and the free fall acceleration on the surface of X is 20m/s², what is the orbital period of the satellite?

Question 4: The speed of a motorcycle moving on a straight road is given by the equation:

What is the distance traveled by the motorcycle between t = 0s and t = 4s?

Question 5:

An object of weight W hangs by three ropes as shown above. What is the value of the angle α if T₁ = T₂ = W?

Question 6:


A conical block of mass M sits on a horizontal surface. The friction between the cone and the surface is high enough so the cone can be toppled by applying a horizontal force. If F is the minimum force required to topple the block, what is the height to radius ratio of the cone?

Question 7: A force F acts on a body moving along the y axis. How much work does F_y on the body from y = 2 to y = 9?