vg[1+1+2ghv2−−−−−−√]vg[1+1+2ghv2]
h=−vt+12h=−vt+12gt2gt2
or gt2−2vt−h=0gt2−2vt−h=0
t=−(−2v)±4v2+4gh−−−−−−−√2gt=−(−2v)±4v2+4gh2g
=2v±2v2+gh−−−−−√2g=2v±2v2+gh2g
=vg±[v2+2gh]1/2g=vg±[v2+2gh]1/2g
=vg[1+1+2ghv2−−−−−−√]=vg[1+1+2ghv2]
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Explanation:
Answer : vg[1+1+2ghv2−−−−−−√]
h=−vt+12gt2
or gt2−2vt−h=0
t=−(−2v)±4v2+4gh−−−−−−−√2g
=2v±2v2+gh−−−−−√2g
=vg±[v2+2gh]1/2g
=vg[1+1+2ghv2−−−−−−√]
Now retain only the positive sign.
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