Question #6a6ad

1 Answer
Mar 30, 2017

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.