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Question

# A projectile is to be launched at an angle 45∘ so that it falls beyond the pond of length 13.6 m as shown in the figure and distance between both the points O to P and M to N is 6 m. What is the range of values of initial velocity (in m/s) so that the projectile falls between points M and N.

A
15<u<16
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B
14<u<16
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C
13<u<16
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D
13<u<14
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Solution

## The correct option is B 14<u<16Range, R=u2sin 2θg Given, OM=6.0+13.6=19.6 m ON=6.0+13.6+6.0=25.6 m So, ⇒19.6<u2 sin 2θg<25.6 ⇒19.6 gsin 2θ<u2<25.6 gsin 2θ ⇒√19.6×10sin 2(45)<u<√25.6×10sin 2(45) ⇒√196<u<√256 ⇒14<u<16

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