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A student finds the constant acceleratio...

A student finds the constant acceleration of a slowly moving object with a stopwatch. The equation used is `S = (1//2) AT^2` . The time is measured with a stopwatch, the distance, S with a meter stick. What is the acceleration and its estimated error ?
`S = 2 pm 0.005 ` meter
` T = 4.2 pm 0.2` second

Text Solution

Verified by Experts

The correct Answer is:
b
We use capital letters for quantities, lower case for errors. Solve the equation for the result, a.
` A = 2 S//T^2`
Its random-error equation is ` a/A = 2 t/T + s/S`
Thus `A = 0.23 pm 0.02m//s^2`
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