I\'m confused to how to answer the last two questions. Am I on the right track?

Question

I'm confused to how to answer the last two questions. Am I on the right track? I've attached my results from the velocity time graph. Thank you.

Plot the experimental results with axes Make sure to complete the scales of the empty cart. (10) 2. 3 2 3 Time tUnit: S Time (Unit 5 Fit the velocity-time curve with the equation v At +B and find A and B. What physical quantities do A and B represent? Is either one related to your acceleration graph? If so, compare the value you found for A or B to the relevant value on the acceleration graph. Aod ( epe ntHe9q58 te line tre he t1.5 Fit the position-time curve with x(t)-Af+Bt+C and read off the values of A, B, and C. What physical quantities do A, B, and C represent? Are any of them related to either your acceleration graph or to your velocity-time graph? If so, compare the values you found here to the values you found from your acceleration and velocity-time graphs. 62

Explanation / Answer

The answers are mostly correct with some experimental errors.

a> velocity time graph.

v = At + B

The velocity v changes linearly with time t

A slope of the line gives the rate of change of velocity, that is nothing but acceleration.

dv/dt ,

From the acceleartion graph the acceleration is approximately const. The const. value is the slope from v-t graph. In the later half the accelearation is not const. There must be some error in computation or measurements, please check.

position graph.

x(t) = At2+Bt +C , the positon is a quadratic function of time. Thsi is the case mostly with projectiles.

C, gives the initial position at t=0.

dx(t) /dt = 2At +B

gives the velocity-time graph.

2A is the slope from v-t graph or it is the acceleration,

B is the intial velocity in v-t graph.

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