1. An object moves clockwise with decreasing speed around an oval track. The velocity vectors at points G and H are shown. Top view diagram a. In the space at right, copy the velocity vectors vand. From these vectors, determine the change in velocity vector, Av. b. If point H were chosen to lie closer to point G, describe how A would change (direction and magnitude). c. Describe how you would determine the acceleration (direction and magnitude) at point G. In the space at right, indicate the direction of the acceleration of the object at point G. d. Copy and ,, (placed "tail-to-tail") in the space at right. How does the angle between the acceleration and velocity vectors compare to 90°? (ie., Is the angle greater than, less than, or equal to 90°?) D. M. and Av Direction of acceleration and a (place them "tail-to-tail") e. Generalize your results above and from tutorial to answer the following question: For an object moving along a curved trajectory, how does the angle between the acceleration and velocity vectors compare to 90° if the object moves with (i) constant speed, (ii) increasing speed, and (iii) decreasing speed? 2. Each diagram below shows the velocity and acceleration vectors for an object at a certain instant in time. Acceleration Instant/ Instant 2 Instant 3 Instant 4 ↑ Velocity a. For each instant, state whether the object is speeding up, slowing down, or moving with constant speed. Explain your reasoning in each case. b. The diagram at right illustrates how the acceleration at instant 2 can be treated as having two components-one parallel to the velocity and one perpendicular to the velocity. 4parallel perpendicular i. For each of the other cases (instants 1, 3, and 4), draw a diagram similar to the one given for instant 2. Label the parallel and perpendicular components of the acceleration relative to the velocity. If either component is zero, state so explicitly. c. For each of the instants 1-4, compare your descriptions of the motion in part a with the components of the acceleration that you drew in part b. Then answer the following: i. Give a general rule for how the component of the acceleration parallel to the velocity affects the motion of an object. ii. Give a general rule for how the component of the acceleration perpendicular to the velocity affects the motion of an object.