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c. Using your results from parts a and b, calculate the average x-acceleration between t = 1.75 s and t=2.25 s. Use this to estimate the instantaneous x-acceleration at t=2.0s. Start with a symbolic expression! Use these calculations and data to complete in the table of the x-position, x-velocity, and x-acceleration on the next page. Time (1) x (cm) 0.0 30 0.25 0.5 0.75 1.0 1.25 1.5 1.75 2.0 2.25 2.5 JODOCK 45 30000k 50 30000K 45 30000k 30 30000k 5 Ax (cm) 30000k 15 10000K 5 30000 -5 30000% -15 30000k -25 30000k v (cm/s) 10000K 30 30000 10 30000 -10 30000k -30 30000K -50 30000k Av. (cm/s) 30000 -20 30000 -20 J0000K -20 30000 -20 30000k 30000k a, (cm/s) 30000 300000 40 30000 40 30000 40 30000k 300000 30000 The speed is the magnitude (absolute value) of the velocity. Describe what happens to the speed of the cart during this experiment. Does it always increase? Does it always decrease? Does it increase during part of the motion and decrease for other parts? Please use complete sentences in your answers. Describe what is happens to the x-velocity during this experiment. When is it positive? Is When is it negative? Does it always increase? Does it always decrease? Comment: a quantity that is becoming more negative is decreasing 9. Describe the x-acceleration of the car. Is it different when the cart goes up the ramp versus when it down the ramp? 10. What is the direction of the acceleration when the cart is moving faster, Le, the speed is increasin it the same or opposite the direction of the velocity? What about when the cart is slowing is the acceleration the same or opposite the direction of the velocity? 11. Notice that we did not calculate the x-acceleration at the last or first time, att = 2.5s or att = 0. additional information would we need to calculate the x-acceleration at t=25s and at t = 0s?

c. Using your results from parts a and b, calculate the average x-acceleration between t = 1.75 s and t=2.25 s. Use this to estimate the instantaneous x-acceleration at t=2.0s. Start with a symbolic expression! Use these calculations and data to complete in the table of the x-position, x-velocity, and x-acceleration on the next page. Time (1) x (cm) 0.0 30 0.25 0.5 0.75 1.0 1.25 1.5 1.75 2.0 2.25 2.5 JODOCK 45 30000k 50 30000K 45 30000k 30 30000k 5 Ax (cm) 30000k 15 10000K 5 30000 -5 30000% -15 30000k -25 30000k v (cm/s) 10000K 30 30000 10 30000 -10 30000k -30 30000K -50 30000k Av. (cm/s) 30000 -20 30000 -20 J0000K -20 30000 -20 30000k 30000k a, (cm/s) 30000 300000 40 30000 40 30000 40 30000k 300000 30000 The speed is the magnitude (absolute value) of the velocity. Describe what happens to the speed of the cart during this experiment. Does it always increase? Does it always decrease? Does it increase during part of the motion and decrease for other parts? Please use complete sentences in your answers. Describe what is happens to the x-velocity during this experiment. When is it positive? Is When is it negative? Does it always increase? Does it always decrease? Comment: a quantity that is becoming more negative is decreasing 9. Describe the x-acceleration of the car. Is it different when the cart goes up the ramp versus when it down the ramp? 10. What is the direction of the acceleration when the cart is moving faster, Le, the speed is increasin it the same or opposite the direction of the velocity? What about when the cart is slowing is the acceleration the same or opposite the direction of the velocity? 11. Notice that we did not calculate the x-acceleration at the last or first time, att = 2.5s or att = 0. additional information would we need to calculate the x-acceleration at t=25s and at t = 0s?

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I do not need a solution for c. please start from solution from after the table

c. Using your results from parts a and b, calculate the average x-acceleration between t = 1.75 s and t = 2.25 s. Use this to estimate the instantaneous x-acceleration at t = 2.0s. Start with a symbolic expression! Use these calculations and data to complete in the table of the x-position, x-velocity, and x-acceleration on the next page. Ax (cm) a (cm/s²) x (cm) 30 Time (3) 0.0 0.25 0.5 0.75 1.0 1.25 1.5 1.75 2.0 2.25 2.5 XXXXXX 45 XxxXxxXXX 50 45 XXXXXXXXX 30 5 15 XXXXX 5 3000x -5 XXXXXXXXX -15 -25 XXXXXXXX v, (cm/s) 3000x 30 XXXXX 10 XXXXX -10 XXXXXXXX -30 XXXXXX -50 Av, (cm/s) XxxXxxXXX XXXXXXXXX -20 3000xXx -20 -20 xxxxxxxxxx -20 3000x xxxxxxxx -40 -40 40 XXXXX -40 30000 7. The speed is the magnitude (absolute value) of the velocity. Describe what happens to the speed of the cart during this experiment. Does it always increase? Does it always decrease? Does it increase during part of the motion and decrease for other parts? Please use complete sentences in your answers. 8. Describe what is happens to the x-velocity during this experiment. When is it positive? Is When is it negative? Does it always increase? Does it always decrease? Comment: a quantity that is becoming more negative is decreasing. 9. Describe the x-acceleration of the car. Is it different when the cart goes up the ramp versus when it down the ramp? 10. What is the direction of the acceleration when the cart is moving faster, ie, the speed is increasing it the same or opposite the direction of the velocity? What about when the cart is slowing is the acceleration the same or opposite the direction of the velocity? 11. Notice that we did not calculate the x-acceleration at the last or first time, at t = 2.5s or at t = 0.1 additional information would we need to calculate the x-acceleration at t = 2.5 s and at t = 0s?
Transcribed Image Text:c. Using your results from parts a and b, calculate the average x-acceleration between t = 1.75 s and t = 2.25 s. Use this to estimate the instantaneous x-acceleration at t = 2.0s. Start with a symbolic expression! Use these calculations and data to complete in the table of the x-position, x-velocity, and x-acceleration on the next page. Ax (cm) a (cm/s²) x (cm) 30 Time (3) 0.0 0.25 0.5 0.75 1.0 1.25 1.5 1.75 2.0 2.25 2.5 XXXXXX 45 XxxXxxXXX 50 45 XXXXXXXXX 30 5 15 XXXXX 5 3000x -5 XXXXXXXXX -15 -25 XXXXXXXX v, (cm/s) 3000x 30 XXXXX 10 XXXXX -10 XXXXXXXX -30 XXXXXX -50 Av, (cm/s) XxxXxxXXX XXXXXXXXX -20 3000xXx -20 -20 xxxxxxxxxx -20 3000x xxxxxxxx -40 -40 40 XXXXX -40 30000 7. The speed is the magnitude (absolute value) of the velocity. Describe what happens to the speed of the cart during this experiment. Does it always increase? Does it always decrease? Does it increase during part of the motion and decrease for other parts? Please use complete sentences in your answers. 8. Describe what is happens to the x-velocity during this experiment. When is it positive? Is When is it negative? Does it always increase? Does it always decrease? Comment: a quantity that is becoming more negative is decreasing. 9. Describe the x-acceleration of the car. Is it different when the cart goes up the ramp versus when it down the ramp? 10. What is the direction of the acceleration when the cart is moving faster, ie, the speed is increasing it the same or opposite the direction of the velocity? What about when the cart is slowing is the acceleration the same or opposite the direction of the velocity? 11. Notice that we did not calculate the x-acceleration at the last or first time, at t = 2.5s or at t = 0.1 additional information would we need to calculate the x-acceleration at t = 2.5 s and at t = 0s?
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