1.

A cannon and a larger are 5.10 km apart and located at the same level. How soon will the shell launched with the initial velocity 240 m/s reach the farger in the absence of air drag?

Answer»

Solution :Here `v_(0)=240 ms^(-1) , R =5.10 km =5100 m`
`g=9.8 ms^(-2), ALPHA= ? "" R=(v_(0)^(2) 2 alpha)/(g)`
`sin 2 alpha=(Rg)/(v_(0)^(2)) "" rArr alpha=30^(@) or 60^(@)`
Using =`T=(2v_(0) sin alpha)/(g)`
When `alpha=30^(@), T_(1)=(2xx240xx0.5)/(9.8)=24.5s`
When `alpha=60^(@)T_(2)=(2xx240xx0.867)/(9.8)=42.41s`


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