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You cast a fishing lure into the water from a height of 4 feet above the water. The height h (in feet) of the fishing lure after t seconds can be modeled by the equation h=-16t^2 24t + 4. After how many seconds does the fishing lure hit the water

Sagot :

Answer:

To find out after how many seconds does the fishing lure hits the water, we need to solve the equation h=-16t^2 + 24t + 4.

Setting h = 0, as the lure hits the water when the height is 0, we get the following equation:

0 = -16t^2 + 24t + 4

Solving for t using the quadratic formula, we get:

t = (-24 +/- sqrt(24^2 - 4(-16)(4))) / (2(-16))

t = (-24 +/- sqrt(576