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A person throws a bottle into a dust-bin...

A person throws a bottle into a dust-bin at the same height as he is 2 m away at an angle of `45^(@)`. The velocity of the throw is

A

g

B

`sqrtg`

C

950s

D

`sqrt2g`

Text Solution

Verified by Experts

Velocity,`v=36kmh^(-1)=36xx5/18=10ms^(-1)`
`"Acceleration",a=0.2ms^(-2)`
from the equation,
`v=u+at_1`
Distance,d=9km
Unifrom deceleration,`a_1=0.1ms^(2)`
`10=0+(0.2)t_1`
`impliest_1=50s`
Time taken for travelling 9km,
`t_2=d/s=(9xx1000)/(10)=900s`
Time taken for retardation,`t_3` is,
`v=u=a_1t`
`implies0=10-(0.1)t_3`
`impliest_3=10/0.1=100s`
Total time taken by the car the to travel,
`:.t=t_1+t_2+t_3=50+900+100=1050s`
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