a juggler start throing ball with the speed of 40 m
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11th
Physics
Motion in a Straight Line
Problems on Equation of Motion
A juggler keeps on moving f...
PHYSICS
A juggler keeps on moving four balls in air throwing the balls after regular intervals. When one ball leaves his hand (speed =20ms
−1
), the position of other balls (height in metre) will be :
(Take g=10ms
−2
)
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ANSWER
Time taken by the small ball to return to the hands of the juggler is
g
2v
=
10
2×20
=4s. So, he is throwing the balls after 1s each. Let at some instant, he throws the ball number 4. Before 1s of throwing it, he throws ball 3. So, the height of ball 3 is
h=ut−
2
1
gt
2
h
3
=20×1−
2
1
(10)(1)
2
=15m
Before 2s, he throws ball 2. So, the height of ball 2 is
h
2
=20×2−
2
1
×10(2)
2
=20m
Before 3s, he throws ball 1. So, the height of ball 1 is
h
1
=20×3−
2
1
×10(3)
2
⇒h
1
=15m