A body having a uniform acceleration and some initial velocity attains a final velocity v m s−1 after travelling a distance of x m. If the equation v=180−7x gives the final velocity then the acceleration of the body is
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a
−3.5m/s2
b
−7m/s2
c
−15m/s2
d
−30m/s2
answer is A.
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Detailed Solution
v=180−7x where x is the distance∴v2=180−7xFrom the dimensions, 180 has dimensions of square of velocity. For a body travelling with uniform acceleration,Compare the above equation with the standard equation V2=u2-2ax and find a