One Dimensional Motion

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A comparison of equations (3) and (7) tell us that a 0 should be 0, a 1 should be v o and a 2 should be g sin! 2 . You have already computed the theoretical value of a using Equation (6). A theoretical value of v o can be computed by using Equation (3). Complete the table below. acceleration, a ( ) initial velocity, v o ( ) Experimental Theoretical % Error Does your fitted value of a o agree with what you expect? Comment. Does your fitted value of a 1 agree with what you expect? Comment. Does your fitted value of a 2 agree with what you expect? Comment. 36
Part II: We can also study kinematics by measuring the initial, v o , and final velocities, v f . When you measured the time that the cart spent between the photogates, the software also measured the time required for the cart to pass through each photogate, ∆t. If the length, ∆L, of what passed through the photogate is sufficiently small, the quantity ∆L / ∆t provides a good approximation to the instantaneous velocity of the cart as it passes through the photogate. The choice of the length, ∆L, is a compromise between two conflicting needs. If ∆L is too small, then the transit time, ∆t, is too small and the percentage error in determining v(t) is unacceptably large. On the other hand, if ∆L is too large, the measured speed is not a good approximation to the instantaneous speed. Be careful in determining your value of ∆L. Explain your method in the space below. If you were careful when taking your data earlier, you do not need to make any additional measurements. (Aside: reading the lab write-up ahead of time does save you time in lab). The table below will guide you through the measurements to calculate the acceleration using Equation 4. ∆L = __________ Δ x (Displacement) Δ ( ) Δ ( ) v t 1 t 2 1 ( ) v 2 ( ) a cal ( ) c (Time (Time (Velocity (Velocity in Gate 1) in Gate 2) at Gate 1) at Gate 2) (Acceleration) a average = _________ 37
Page 1 and 2: Name: Partner(s): Date: One Dimensi
Page 3 and 4: If the initial velocity, v o , and
Page 5: 5. Analysis: Part 1: Enter your da
Page 9 and 10: 7. Initiative: Possible ideas: Des

One Dimensional Motion

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