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I need help with Q4. I can't figure out what equation I should use to find the velocity. I think it would be a combination of the velocity formulas for x and y but I'm not sure. My 4 simplified equations are: 1. Vxf = Vxi 2. (delta)x = Vxi * (delta)t 3. Vyf = 9.8 m/s^2 * (delta)t 4. (delta)y = 1/2(9.8 m/s^2) * (delta)t^2   For my data I have: (delta)y = 0.6604 meters (delta) t = 0.367 seconds   I don't need the answer or a long explanation, I really just can't figure out what equation/formula I need to use to find "the velocity of your object as it rolls off the incline and enters free-fall."

I need help with Q4. I can't figure out what equation I should use to find the velocity. I think it would be a combination of the velocity formulas for x and y but I'm not sure. My 4 simplified equations are: 1. Vxf = Vxi 2. (delta)x = Vxi * (delta)t 3. Vyf = 9.8 m/s^2 * (delta)t 4. (delta)y = 1/2(9.8 m/s^2) * (delta)t^2   For my data I have: (delta)y = 0.6604 meters (delta) t = 0.367 seconds   I don't need the answer or a long explanation, I really just can't figure out what equation/formula I need to use to find "the velocity of your object as it rolls off the incline and enters free-fall."

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 54AP: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s...
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I need help with Q4. I can't figure out what equation I should use to find the velocity. I think it would be a combination of the velocity formulas for x and y but I'm not sure. My 4 simplified equations are:

1. Vxf = Vxi

2. (delta)x = Vxi * (delta)t

3. Vyf = 9.8 m/s^2 * (delta)t

4. (delta)y = 1/2(9.8 m/s^2) * (delta)t^2

 

For my data I have:

(delta)y = 0.6604 meters

(delta) t = 0.367 seconds

 

I don't need the answer or a long explanation, I really just can't figure out what equation/formula I need to use to find "the velocity of your object as it rolls off the incline and enters free-fall." 

LAB #4: PROJECTILE MOTION Table 4.1: List of 2D kinematic equations for constant acceleration, with definitions of the variables used. Note that the equations for x and y look very similar, with only the subscripts changed. X-components y-components ay = constant = Vyi + ayAt Ay = VyiAt + ayAt Meaning Vertical displacement The y-component of the initial velocity The y-component of the final velocity The y-component of the acceleration a = constant %3D Vaf = Vri + azAt %3D Variable Meaning Variable Horizontal displacement The x-component of the initial velocity The x-component of the final velocity The x-component of the acceleration The time interval between initial and final events (also written tfinal -tinitial Oor just t). Vrf Vyf ay = -g z -9.8 s2 (4.3) >Q1: Simplify the general 2D kinematic equations for the case of an object in freefall where 0, and a, = 0. You will have four equations total, two for the horizontal and two for the vertical direction. To perform this experiment, we will roll an object down a ramp and launch it horizontally as shown in Figure 4.2. The object then will be in free-fall. We will measure the distance it falls (Ay) and the distance it travels horizontally (Ar). The object's initial velocity is then calculated using the kinematic equation. (0 = 7) Ay (1)p --X- Figure 4.2: Schematic drawing of the experiment. PROCEDURE While following the procedure, refer to Figure 4.3 for the setup of the ramp. Also check on the helpful hints for some suggestions to successfully complete your experiment. 16
Transcribed Image Text:LAB #4: PROJECTILE MOTION Table 4.1: List of 2D kinematic equations for constant acceleration, with definitions of the variables used. Note that the equations for x and y look very similar, with only the subscripts changed. X-components y-components ay = constant = Vyi + ayAt Ay = VyiAt + ayAt Meaning Vertical displacement The y-component of the initial velocity The y-component of the final velocity The y-component of the acceleration a = constant %3D Vaf = Vri + azAt %3D Variable Meaning Variable Horizontal displacement The x-component of the initial velocity The x-component of the final velocity The x-component of the acceleration The time interval between initial and final events (also written tfinal -tinitial Oor just t). Vrf Vyf ay = -g z -9.8 s2 (4.3) >Q1: Simplify the general 2D kinematic equations for the case of an object in freefall where 0, and a, = 0. You will have four equations total, two for the horizontal and two for the vertical direction. To perform this experiment, we will roll an object down a ramp and launch it horizontally as shown in Figure 4.2. The object then will be in free-fall. We will measure the distance it falls (Ay) and the distance it travels horizontally (Ar). The object's initial velocity is then calculated using the kinematic equation. (0 = 7) Ay (1)p --X- Figure 4.2: Schematic drawing of the experiment. PROCEDURE While following the procedure, refer to Figure 4.3 for the setup of the ramp. Also check on the helpful hints for some suggestions to successfully complete your experiment. 16
メマ 2h +) XP LAB #4: PROJECTILE MOTION it Slei75 (11) Repeat the processes of launching an object and measuring its position 4 additional times. (10) Measure the horizontal distance between the edge of the surface and the landing place. This is Ar. Use your simplified kinematics equations to write an expression for Vri in terms of known quantities. Use this expression and your measurements to find the launch speed, vi for each of the five trials. (Hint: You should already know Ax (measured), and At (calculated).) (12) Find the mean and standard error (uncertainty) for both Ax and vri. Table 4.2: Measurements and results of object in free fall. Remember to include uncertainty estimates. Ramp angle (0) Trial 1. ... 5. Mean Standard Error Q4: What is the velocity of your object as it rolls off the incline and enters free-fall? What is the uncertainty of this value? Now that the horizontal velocity, vri, is known, this value can be used to test a prediction: for a different drop height (Ay), and the same ramp, how far is the object expected to travel? (13) Create a copy of Table 4.3 for an additional experiment. (14) To obtain a different drop height: either leave the inclined plane where it is and add a chair below to reduce the drop, or move the inclined plane set-up to a new location (either higher or lower). If you choose to move the inclined plane, be very careful to maintain the same angle as before! (15) Measure and record the new value of Ay. (16) Answer the following questions before proceeding: Q5: As before, calculate the time it takes for an object leaving the horizontal surface to land (At). Record this value in your data table (using your new Ay). Q6: Using your previous mean value for vri, what is the range (Ax) of the object now expected to be? Table 4.3: Measurements and results of object in free fall. Remember to include uncertainty estimates. Ramp angle (0) Trial ... Mean Standard Error (17) Repeat the experiment, rolling the object down the incline, and measuring Ar a total of 5 times. 18
Transcribed Image Text:メマ 2h +) XP LAB #4: PROJECTILE MOTION it Slei75 (11) Repeat the processes of launching an object and measuring its position 4 additional times. (10) Measure the horizontal distance between the edge of the surface and the landing place. This is Ar. Use your simplified kinematics equations to write an expression for Vri in terms of known quantities. Use this expression and your measurements to find the launch speed, vi for each of the five trials. (Hint: You should already know Ax (measured), and At (calculated).) (12) Find the mean and standard error (uncertainty) for both Ax and vri. Table 4.2: Measurements and results of object in free fall. Remember to include uncertainty estimates. Ramp angle (0) Trial 1. ... 5. Mean Standard Error Q4: What is the velocity of your object as it rolls off the incline and enters free-fall? What is the uncertainty of this value? Now that the horizontal velocity, vri, is known, this value can be used to test a prediction: for a different drop height (Ay), and the same ramp, how far is the object expected to travel? (13) Create a copy of Table 4.3 for an additional experiment. (14) To obtain a different drop height: either leave the inclined plane where it is and add a chair below to reduce the drop, or move the inclined plane set-up to a new location (either higher or lower). If you choose to move the inclined plane, be very careful to maintain the same angle as before! (15) Measure and record the new value of Ay. (16) Answer the following questions before proceeding: Q5: As before, calculate the time it takes for an object leaving the horizontal surface to land (At). Record this value in your data table (using your new Ay). Q6: Using your previous mean value for vri, what is the range (Ax) of the object now expected to be? Table 4.3: Measurements and results of object in free fall. Remember to include uncertainty estimates. Ramp angle (0) Trial ... Mean Standard Error (17) Repeat the experiment, rolling the object down the incline, and measuring Ar a total of 5 times. 18
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