Question #6a6ad

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Answer 1 · 2017-03-30T04:10:10

#0=-16t^2+150#

#=>16t^2=150#

#=>t^2=150/16#

#=>t=sqrt(150/16)=(5sqrt6)/4#

Alternative

#16t^2-150=0#

#=>(4t)^2-(5sqrt6)^2=0#

#=>(4t-5sqrt6)(4t+5sqrt6)=0#

So #4t-5sqrt6=0#

#=>t=(5sqrt6)/4s#

Negative root rejected as #t<0# not possible.