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NEET Class neet Answered

A body is projected  with velocity u such that it's horizontal range and maximum vertical height are same.the maximum  height is
Asked by Singhalahan3 | 12 Aug, 2019, 08:13: PM
answered-by-expert Expert Answer
Horizontal range,   R  = ( u2 sin2α )/ (2g) ......................(1)
 
where u is projection velocity and α is angle of projection
 
Maximum height , H = ( u2 sin2α ) / (2g)  .....................(2)
 
if range and maximum height are same, then  ( u2 sin2α )/ (2g)  = ( u2 sin2α ) / (2g)  ....................(3)
 
from eqn.(3),  we get, tanα = 2   or  sinα = 2/√5  
 
Hence maximum height = (4/5) u2 / (2g)
Answered by Thiyagarajan K | 13 Aug, 2019, 06:40: AM
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