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Taking X - axis along horizontal and Y -...

Taking X - axis along horizontal and Y - axis along vertical, with what minimum speed must a particle be projected from the origin so that it is able to pass through a given point (30m, 40 m)? Take `g=10ms^(-2)`

A

26 m/s

B

30 m/s

C

20 m/s

D

10 m/s

Text Solution

Verified by Experts

The correct Answer is:
b
40=30 tan `alpha-(g(30))^(2)/(2u^(2))(1+tan^(2)alpha)`
For real value of `alpha`
`(6u^(2))^(2)ge3600(900+8u^(2))`
`impliesu^(4)-800u^(2)ge900,00`
`(u^(2)-400)^(2)ge25,000`
`impliesu^(2)-400ge5,00`
`u^(2)ge900`
`impliesuge30m//s`
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