A toy airplane flies in a horizontal circle at constant speed. The x and y positions of the airplane as a function of time are recorded in the chart on the right, with the origin at the center of the circle. 1. On the grid on the back, make a motion diagram of airplane's motion. Include (1) the average velocity vectors between each point and (2) and the acceleration vectors at each point. 2. What can we say about the direction of the acceleration vectors? What is the magnitude of the acceleration vectors? The magnitude of the acceleration is the same at each point so you can determine it at any convenient time. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. Time(s) 0 2 4 6 8 10 12 14 16 0.0 7.1 10.0 7.1 0.0 -7.1 10.0 -7.1 0.0 y (m) We can estimate the velocity at t= 1 s using the average velocity between 0 and 2 s AF (7.11-2.93) m (2-0) =(3.551-1.45) 3. As above, estimate the velocity at t-3 s using the average velocity between 2 and 4 s. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. 10.0 7.1 0.0 -7.1 -10.0 -7.1 0.0 7.1 10.0 4. Using the velocity at 1 s and the velocity at 3 s (from above), estimate the acceleration at t=2 seconds. Write the acceleration in vector form. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units.
A toy airplane flies in a horizontal circle at constant speed. The x and y positions of the airplane as a function of time are recorded in the chart on the right, with the origin at the center of the circle. 1. On the grid on the back, make a motion diagram of airplane's motion. Include (1) the average velocity vectors between each point and (2) and the acceleration vectors at each point. 2. What can we say about the direction of the acceleration vectors? What is the magnitude of the acceleration vectors? The magnitude of the acceleration is the same at each point so you can determine it at any convenient time. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. Time(s) 0 2 4 6 8 10 12 14 16 0.0 7.1 10.0 7.1 0.0 -7.1 10.0 -7.1 0.0 y (m) We can estimate the velocity at t= 1 s using the average velocity between 0 and 2 s AF (7.11-2.93) m (2-0) =(3.551-1.45) 3. As above, estimate the velocity at t-3 s using the average velocity between 2 and 4 s. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. 10.0 7.1 0.0 -7.1 -10.0 -7.1 0.0 7.1 10.0 4. Using the velocity at 1 s and the velocity at 3 s (from above), estimate the acceleration at t=2 seconds. Write the acceleration in vector form. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units.
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