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How ois the Physics question posted here @.Sam.

math books have these types of questions as well

its asking you for the vertex of the parabola

if you can find the roots, you can determine the t value as the middle of the roots

i Don't understand how to get to the vertex

|dw:1371055357886:dw|

can you find where the zeros for it are?

No

then you are clearly not prepared to tackle this problem.

can you factor the given equation?

yes i got to 16(t^2 + 36t)

pull out a t as well

16t(t+36) = 16t (t+6) (t-6)

16t (t+36) is as far as you can go
now the key here is to remember your zero times tables ....

okay

16t (-t+36) = 0 when 16t=0, or when -t+36 = 0
what values do we get for "t"?

if 16t=0 then t is 0 and if -t+36=0 then -t=-36

18

thank you :)

good luck :)