The drawing shows a device that you can make with a piece of cardboard, which ca

Question

The drawing shows a device that you can make with a piece of cardboard, which can be used to measure a person's reaction time. Hold the card at the top and suddenly drop it. Ask a friend to try to catch the card between his or her thumb and index finger. Initially, your friend's fingers must be level with the asterisks at the bottom. By noting where your friend catches the card, you can determine his or her reaction time in milliseconds (ms). Calculate the distances (a) d1, (b) d2, and (c) d3. answer needs to have 4 significant figures.

Explanation / Answer

the reaction time of the person can be calculated as the time at which he holds the cardboard. for d1: he holds he cardboardafter 60 ms of the required time. in those 60ms , the cardboard has travelled a distance equal to d1 given by d1 = ut + 0.5 at^2 here u = initial velocity = 0 a = g i.e the acceleration due to gravity d1 = 0.5 x 9.8 x 60 x 60 x 10 ^-3 x 10^-3 = 0.01764m similarly: d2= 0.5 x 9.8 x 120 x 120 x 10^-6 = 0.07056m and for d3: d3 = 0.5 x 9.8 x 180 x 180 x 10^-6 = 0.1587m

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