20. (a) Deduce the unit of acceleration in an unknown system of units, where unit of distance is
“p” and unit of time is “q”.
(b) Two physical quantities “a” and “b” have graph between them as straight line sloping up.
What is the relationship between the two physical quantities?
(c) For a graph shape of straight line sloping up starting from origin, between “distance” and
“time”, use 2nd equation of motion to
deduce the relationship “distance α time” (Hint: uniform
motion has no acceleration but has constant velocity)
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Explanation:
b They are directly proportional to each other
c For a graph shape of straight line sloping up starting from origin, between “distance” and “time”.
To find:
Deduce the relationship “distance and time”.
Calculation:
Applying 2nd Equation of Motion with uniform acceleration a :
But for uniform velocity , Acceleration is zero.
Hence , the graph between Displacement and Time will be a straight line passing through origin and having positive slope
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