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A ball is thrown straight upward with a speed v from a point h meter above the ground. The time taken for the ball to strike the ground isA. `(upsilon)/(g) sqrt(1-(2hg)/(upsilon^(2)))`B. `(upsilon)/(g)sqrt(1+(2hg)/(upsilon^(2)))`C. `sqrt(1+(2hg)/(upsilon^(2)))`D. `(upsilon)/(g)[1+sqrt(1+(2hg)/(upsilon^(2)))]` |
Answer» Correct Answer - D `-h=upsilon t-(1)/(2)g t^(2)` or `g t^(2)-2upsilon t-2h=0` `therefore t=(2upsilon+sqrt(4upsilon^(2)+8gh))/(2g)=(upsilon)/(g)[1+sqrt(1+(2hg)/(upsilon^(2)))]` |
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