A typical projectile problem

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1. A projectile is fired at an angle 60â—¦ with some velocity u. If the angle is changed infinitesimally, let the corresponding fractional changes in the range and the time of flight be x and y, respectively, Then y is
(A) 2/3x
(B) âˆ’2/3x
(C) 2x
(D) âˆ’2x

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SAYAN BOSE ·2011-11-27 23:03:09

Differentiate the terms of horizontal range and time of flight wrt to angle and obtain differentials. Divide by horizontal range and time of flight to obtain fractional changes. Put theta=60 degrees and obtain values of y/x. Solve.

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A typical projectile problem

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