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If `y=x-x^(2)` is the of the path of a projectile, then which of the following is incorrect:A. Range `= 1m`B. Maximum height `= 0.25 m`C. Time of flight `= 0.5 m`D. Angle of projection `= 45^(@)` |
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Answer» Correct Answer - A::B::D `y = x tan theta - (gx^(2))/(2u^(2) cos^(2) theta) = x tan theta [1 - (x)/(R )]` `y = x - x^(2) = x [1 - x]` `tan theta = 1 rArr theta = 45^(@)` `(g)/(2u^(2) cos^(2) theta) = 1, R = 1 m` `u = sqrt((g)/(2 ((1)/(sqrt2))^(2))) rArr u = sqrtg` `H_("max") = ((u sin theta)^(2))/(2g) = (sqrt(g)(1)/(2))^(2)/(2g)` `H_("max") = (g)/(2 xx 2g) = (1)/(4) m` `T = (2 u sin theta)/(g) = 2 xx sqrtg xx (1)/(sqrt2 xx g) = sqrt((2)/(g)` |
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