A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t in measured in seconds.
How long will it take the rock to hit the fround? Round your answers to the nearest three decimal places.
2 answers:
Answer:
equate f(x) to zero to find the time t
-16t² +13.4t +120 = 0
Using the quadratic formula
t = -b ± √b² - 4ac/2a
a = -16t b = 13.4 c = 120
t = -13.4±√(13.4)² - 4(-16)(120)/-32
= -13.4 ± √ 7859.56/-32
t = - 2.35 or t = 3.19
Since time is positive
t = 3.19s
Hope this helps.
Answer:
-16t² + 13.4t + 120
= ( t-3.189)(t+2.352)
t = 3.189s or t = -2.352s (ignore)
ignore -2.352s because time cannot be in negative form
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