Two balls x and y are thrown from the top of a tower one vertically upwards and other vertically downwards with same speed . Is the time taken by them to reach the ground is 6s and 2s respectively, then height of tower is
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3
ok let height be h
for x
h = ut - 0.5t^2
h = ut - 0.5 × 36
h = ut - 18
for y
h = ut - 0.5t^2
h = ut - 0.5 × 4
h = ut - 2
from both the equation
h = ut - 18
h = ut - 2
h = 20 m
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Explanation:
TWO DIGIT NO=10X+Y=Z
X+Y=10Z X=10Z-Y
Y=10Z-X
Let the tower height be z
ATQ
the X reaches ground=6
the y reaches ground=2
6X+2Y=Z
6X+2 (10Z-X)=Z
6X-X+20Z-2X=Z
5X-2X+20Z=Z
3X=Z-20Z
3X=-19Z
3 (10Z-10Z-X)=19Z
30Z-30Z-3X=19Z
3X=19Z
X=19Z/3X
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