in lab 3, in part a the instantaneous velocity at the first photogates position is determined as the y…

in lab 3, in part a the instantaneous velocity at the first photogates position is determined as the y - intercept of trendline equation and in part b it is obtained from the slope value of the tangent line drawn for the same position as in part a. out of these two velocity values, which one sounds more accurate or has less uncertainty? mark the most correct answer. select one\na. the velocity value from part b through the tangent line method should be more accurate since it is true instantaneous velocity while the y - intercept value from part a does not sounds convincing.\nb. both velocity values are not trustable since they are indirectly obtained while it is a fact that true instantaneous velocity cannot be directly measured since no one can achieve the limit condition of δt = 0.\nc. both velocity values are accurate and there shouldnt be any difference.\nd. the velocity value from part a is likely more accurate since the tangent line drawn by hand can introduce uncertainty and the readings of two points picked on the tangent line can also introduce reading uncertainties.

in lab 3, in part a the instantaneous velocity at the first photogates position is determined as the y - intercept of trendline equation and in part b it is obtained from the slope value of the tangent line drawn for the same position as in part a. out of these two velocity values, which one sounds more accurate or has less uncertainty? mark the most correct answer. select one\na. the velocity value from part b through the tangent line method should be more accurate since it is true instantaneous velocity while the y - intercept value from part a does not sounds convincing.\nb. both velocity values are not trustable since they are indirectly obtained while it is a fact that true instantaneous velocity cannot be directly measured since no one can achieve the limit condition of δt = 0.\nc. both velocity values are accurate and there shouldnt be any difference.\nd. the velocity value from part a is likely more accurate since the tangent line drawn by hand can introduce uncertainty and the readings of two points picked on the tangent line can also introduce reading uncertainties.

Answer

Brief Explanations:

Instantaneous velocity is the limit of average velocity as the time - interval approaches zero. Drawing a tangent line to a position - time graph at a point gives the true instantaneous velocity at that point. While the y - intercept method in Part A is less direct and less accurate. Hand - drawing a tangent line can introduce some error, but conceptually it represents the instantaneous velocity better than using the y - intercept of a trendline. True instantaneous velocity can't be directly measured as $\Delta t$ can't reach exactly 0, but the tangent line method is a closer approximation.

Answer:

A. The velocity value from Part B through the tangent line method should be more accurate since it is true instantaneous velocity while the y - intercept value from Part A does not sounds convincing.