SOLUTION: The formula t=square root of d over 16, describes the amount of time t,in seconds, that an object falls a distance of h feet. a) write an expression in simplest form for the exa

Algebra ->  Radicals -> SOLUTION: The formula t=square root of d over 16, describes the amount of time t,in seconds, that an object falls a distance of h feet. a) write an expression in simplest form for the exa      Log On


   

Question 291156: The formula t=square root of d over 16, describes the amount of time t,in seconds, that an object falls a distance of h feet.
a) write an expression in simplest form for the exact amount of time an object falls a distance of 64 feet.
b)Find the distance an object falls in 9 seconds.
Please help me I'm a 32 year old stay at home mom that has gone back to college
I can't figure this one out please help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the formula given to you is t=sqrt%28d%2F16%29


a)

t=sqrt%28d%2F16%29 Start with the given equation.


t=sqrt%2864%2F16%29 Plug in d=64


t=sqrt%284%29 Divide 64 into 16 to get 4.


t=2 Take the square root of 4 to get 2.


So it takes 2 seconds for an object to fall 64 ft.

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b)

t=sqrt%28d%2F16%29 Start with the given equation.


9=sqrt%28d%2F16%29 Plug in t=9


9%5E2=d%2F16 Square both sides to eliminate the square root.


81=d%2F16 Square 9 to get 81.


81%2A16=d Multiply both sides by 16 to isolate 'd'


1296=d Multiply


So the answer is d=1296 which means that the object has fallen 1,296 ft in 9 seconds.