# Experiment 7 Lab Report - Introduction The purpose of the...

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Introduction: The purpose of the experiment is to deduce the difference between average ( v age ) and instantaneous ( v ins ) velocity and to analyze distance velocity and acceleration of a glider. Non-uniform kinematics is a subdivision of classical Physics that deals with the none uniform motion of a point particle that undergoes acceleration. average ( v age ) velocity [ cm / s ] instantaneous ( ¿ v ¿ ) velocity [ cm / s ] v age = ∆distance ∆time v ins = lim ∆time → 0 ∆distance ∆time or v ins = d dt position or v ins = x n + 1 x n 1 ∆t Velocity is defined as the change in distance over the change in time. The average velocity is the velocity over a given interval, while the instantaneous velocity is at a specific moment. Note: the precursor lim ∆time → 0 ¿ means the limit that the function goes to as the change in time get extremely small. We can’t have the time interval to equal zero because it is not mathematically possible to have zero in the denominator. Acceleration is defined as the change in velocity over the change in time. The average acceleration is the acceleration over a given interval, while the instantaneous acceleration is at a specific moment. Acceleration follows similar trend to velocity as velocity does to position. Also acceleration is related to position by being its second derivative. average ( a age ) acceleration [ cm / s 2 ] instantaneous ( ¿ a ¿ ) acceleration [ cm / s 2 ] a age = ∆velocity ∆time a ins = lim ∆time → 0 ∆ position ∆time or a ins = d dt velocity or a ins = d 2 dt 2 position Experimental Method: The apparatus was set up to have a glider held in place by a string floating on air supplied by a valve from above to a v-shaped track with air holes in it. At one end of the string there is a spring and on the other a small mass hung suspended over the edge. The glider itself had 2 needles with one held suspended over the spark tape. The sparks were supplied from a spark coil which was set to release 20 sparks per second by a dial on the box, so that the needles would be able to transmit them to the spark tape that would record one dot once every 0.05 seconds.
Figure-1: Photograph of actual set 1 Figure-2: The glider with the needle to provide the spark 2 Figure-3: Diagram of the glider set up with the track There was procedure that was followed while preforming the experiment is as follows: 1. Set up the equipment as described in Figure-3. Make sure that the air supply is strong enough to have the glider glides smoothly and that the needles are perpendicular and close enough to the spark paper that there is no extremely large gaps in the results 2. Use the meter stick to glide the glider back towards the spring. Its okay if the string has lag in it but the spring should lay flat against the track the entire time. Note: take care not to touch any of the metal components of the experiment in order to avoid any electrical shocks.
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