A body is projected verticallt upwards. If `t_(1)` and `t_(2)` be the times at which it is at a height h above the point of projection while ascending
A body is projected verticallt upwards. If `t_(1)` and `t_(2)` be the times at which it is at a height h above the point of projection while ascending and descending respectively, then:
A. `h = g t_(1)t_(2)`
B. `h = 2 g t_(1)t_(2)`
C. `h = (1)/(2) g t_(1)t_(2)`
D. `h = (1)/(4) g t_(1)t_(2)`
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Correct Answer - C
`h = (1)/(2) g ((t_(1) + t_(2))/(2))^(2) - (1)/(2) g ((t_(2) - t_(1))/(2))^(2)`
`= (g)/(8) 4 t_(1) t_(2) = (1)/(2) g t_(1) t_(2)`
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