Answer:
Fishing lure will be at a height of 12 feet after 0.19 and 1.31 seconds
Step-by-step explanation:
Travel of a fishing lure has been given by the expression,
h = -16t + 24t + 4
where h = height of the fishing lure
t = time or duration of travel
Height traveled by the fishing lure = 12 - 4 = 8 feet
For h = 8 feet,
8 = -16t² + 24t + 4
-16t² + 24t + 4 - 8 = 0
16t² - 24t + 4 = 0
4t² - 6t + 1 = 0
t = [tex]\frac{6\pm\sqrt{(-6)^{2}-4(4)(1)}}{2\times 4}[/tex]
= [tex]\frac{6\pm\sqrt{36-16}}{8}[/tex]
= [tex]\frac{6\pm\sqrt{20}}{8}[/tex]
= [tex]\frac{6\pm2\sqrt{5}}{8}[/tex]
= 1.31, 0.19 seconds
