Determining acceleration from our position versus time data.\ If only we had velocity versus time data for the bowling ball, then finding the acceleration would be easy! (Why?) Thankfully, we can create a '

v

vs t' plot, from our '

x

vs

t

' data using the following useful result:\ For a constant acceleration, the average velocity (

/bar (v)

) during any time interval is equal to the instantaneous velocity at the halfway point of the time interval.\ (Your TA/LA would be happy to discuss a proof of this rule with you - perhaps you can figure it out yourself if you have time!)\ Using the result above and your experimental data, fill in the 'velocity data' table below. (Work carefully, it is easy to make a mistake in the calculations. Be careful with units. use SI only)\ Velocity data for ball on ramp\ \\\\table[[Trial,Interval,\\\\table[[Start and],[end time],[of],[interval],[(s)]],\\\\table[[Time at],[midpoint of],[interval (s)]],\\\\table[[Distance],[Traveled],[During Interval],[(m)]],\\\\table[[Instantaneous],[velocity at],[midpoint of],[interval (

(m)/(s)

Determining acceleration from our position versus time data. If only we had velocity versus time data for the bowling ball, then finding the acceleration would be easy! (Why?) Thankfully, we can create a ' v vs t ' plot, from our ' x vs t ' data using the following useful result: For a constant acceleration, the average velocity (v) during any time interval is equal to the instantaneous velocity at the halfway point of the time interval. (Your TA/LA would be happy to discuss a proof of this rule with you - perhaps you can figure it out yourself if you have time!) Using the result above and your experimental data, fill in the 'velocity data' table below. (Work carefully, it is easy to make a mistake in the calculations. Be careful with units.....use SI only) Velocity data for ball on ramp