A rectangular plate is mounted on a glider. The leading edge of the plate is ini

Question

A rectangular plate is mounted on a glider. The leading edge of the plate is initially 67.55 cm away from a photogate. The glider is released and starts sliding down a track. The length of the rectangular plate is 21.45 cm and the acceleration is measured to be 30.86 cm/s2. Find the transit time in seconds using the following equation: change in time = sqrt of 2(change in s + L) divided by a minus sqrt of 2(change in s) divided by a, where t = transit time of an accelerating object of Length (L) released from rest at an initial distance of (change in s) from a marker.

Explanation / Answer

? = 1 / Sqrt[ 1 - (v2 / c2) ] where ? = gamma, the time dilation factor (dimensionless number) Sqrt[x] = square root of x v = current ship's velocity as measured in Terra's frame of reference (m/s) c = speed of light in a vacuum = 3e8 m/s

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