A cylinder is given a push and then rolls up an inclined plane. If the origin is the starting point, sketch the position, velocity,and acceleration of the cylinder vs. time as it goes up and then down the plane.

A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 35 m. The runner starts the race at a constant speed. If she completes the 200 m dash in 22.6 s and runs at constant speed throughout the race, what is the magnitude of her centripetal acceleration (in m/s2) as she runs the curved portion of the track?

A Ferris wheel with a radius of 24.0 m is turning about a horizontal axis through its center as shown in the figure. The speed of a passenger on the rim is constant and equal to 6.00 m/. What is the magnitude and direction of the passenger's acceleration as she passes through the (a) lowest point in her circular motion and by the highest point in her circular motion? (c) How much time does it take the Ferris wheel to make one revolution? (d) Include a diagram of the passenger on the Ferris wheel at both locations and clearly indicate both the velocity and acceleration vectors of the passenger in the diagram

The figure below shows an object initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 245 m in length, and the particle moves from A to C in 38.0 s. Point B on the path is 35.0° below the x-axis. 0 35.0⁰ (a) What is the speed of the object (in m/s)? m/s Need Help? (b) What is the magnitude and direction of the acceleration when the object is at point B? (Enter the magnitude in m/s² and the direction in degrees counterclockwise from the +x-axis.) magnitude m/s² direction Read It counterclockwise from the +x-axis