Suppose that the object is speeding up as it moves around the oval track. Draw vectors...
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Suppose that the object is speeding up as it moves around the oval track. Draw vectors to represent the velocity at two points on the track that are relatively close together. (Draw your vectors large.) Label the two points E and F. A. On a separate part of your paper, copy the velocity vectors and Jr. From these vectors, determine the change in velocity vector, Av. 1. Is the angle e, formed by the head of E and the tail of Av, greater than, less than, or equal to 90? Consider how changes as point F is chosen to lie closer and closer to point E. What value or range of values is possible for this angle for an object that is speeding up? Explain. What happens to the magnitude of Av as point F is chosen to lie closer and closer to point E? 2. Describe how you would determine the acceleration of the object at point E. Consider the direction of the acceleration at point E. Is the angle between the acceleration vector and the velocity vector (placed "tail-to-tail") greater than, less than, or equal to 90? B. Suppose the object started from rest at point E and moved towards point F with increasing speed. How would you find the acceleration at point E? Describe the direction of the acceleration of the object at point E. C. At several points on each of the diagrams below, draw a vector that represents the acceleration of the object. Acceleration vectors for constant speed Acceleration vectors for speeding up from rest at point A A Top view diagram Top view diagram Characterize the direction of the acceleration at each point on the trajectory for each case. Is the acceleration directed toward the "center" of the oval at every point on the trajectory for either of these cases? Sketch arrows to show the direction of the acceleration for the following trajectories: peanut-shaped circular Constant speed Speeding up 8 Suppose that the object is speeding up as it moves around the oval track. Draw vectors to represent the velocity at two points on the track that are relatively close together. (Draw your vectors large.) Label the two points E and F. A. On a separate part of your paper, copy the velocity vectors and Jr. From these vectors, determine the change in velocity vector, Av. 1. Is the angle e, formed by the head of E and the tail of Av, greater than, less than, or equal to 90? Consider how changes as point F is chosen to lie closer and closer to point E. What value or range of values is possible for this angle for an object that is speeding up? Explain. What happens to the magnitude of Av as point F is chosen to lie closer and closer to point E? 2. Describe how you would determine the acceleration of the object at point E. Consider the direction of the acceleration at point E. Is the angle between the acceleration vector and the velocity vector (placed "tail-to-tail") greater than, less than, or equal to 90? B. Suppose the object started from rest at point E and moved towards point F with increasing speed. How would you find the acceleration at point E? Describe the direction of the acceleration of the object at point E. C. At several points on each of the diagrams below, draw a vector that represents the acceleration of the object. Acceleration vectors for constant speed Acceleration vectors for speeding up from rest at point A A Top view diagram Top view diagram Characterize the direction of the acceleration at each point on the trajectory for each case. Is the acceleration directed toward the "center" of the oval at every point on the trajectory for either of these cases? Sketch arrows to show the direction of the acceleration for the following trajectories: peanut-shaped circular Constant speed Speeding up 8
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