(Solved): Question 1: a) Figure 1 shows the motion diagram for a ball rolling up an inclined plane. Ea ...

Question 1:

a) Figure 1 shows the motion diagram for a ball rolling up an inclined plane. Each point represents the location of the ball at 1 second intervals. At point 6 the ball turns around and rolls back down the plane (that diagram is not shown). Draw vectors to represent the instantaneous velocities at points 1 and 2. Be sure to draw them pointing in the proper direction.

b) What would the vectors representing the instantaneous velocities and points 3 and 4 look like? How would these vectors compare to the vectors representing points 1 and 2? How would they differ?

c) Draw a vector to represent the acceleration between points 1 and 2. Is the direction of this vector the same or opposite of the velocity vector? Why?

d) As the ball rolls up the inclined plane, what happens to its acceleration?

e) How would the acceleration vector between points 3 and 4 compare to the acceleration vector between points 1 and 2? How would the acceleration vector between points 1 and 4 compare to the acceleration vector between points 1 and 2 or points 3 and 4?

f) What can you conclude about the direction of velocity and the direction of acceleration for a ball rolling up an inclined plane?