A stone is thrown from the top of a tower of height 29.4 m with velocity 9.8 m/s in a direction making angle 30° with horizontal in downward direction. After how long time and at how much horizontal distance from the tower will the stone ball strike on the earth?
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Explanation:
Given V=16m/s, time t=4s. Let height h, and Horizontal range R
Velocity in upward direction V
y
=Vsin(30
o
)=8m/s,
Velocity in horizontal V
x
=Vcos(30
o
)=8
3
In upward direction, Using s=ut+
2
1
at
2
⇒h=8×4−
2
1
×9.8×4
2
⇒h=−46.4 , Hence, Height=46.4m,
In horizontal direction, Range=V
x
×t
⇒R=8
3
×4=32
3
m, Hence Range is 32
3
m
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