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Nookie1986 [14]
3 years ago
11

Jake tosses a coin up in the air and lets it fall on the ground. The equation that

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

t = 1.71825

Step-by-step explanation:

Given

h(t) = -16t^2 + 24t + 6

Required

When will the coin hit the ground

When the coin hits the ground, h(t) = 0

The expression h(t) = -16t^2 + 24t + 6 becomes

0 = -16t^2 + 24t + 6

Multiply through by -1

16t^2 - 24t - 6 = 0

Solve using quadratic formula

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

Where

a = 16

b = -24

c = -6

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

t = \frac{-(-24)\±\sqrt{(-24)^2 - 4 *16 * -6}}{2 * 16}

t = \frac{24\±\sqrt{576 +384}}{32}

t = \frac{24\±\sqrt{960}}{32}

t = \frac{24\±30.984}{32}

Split

t = \frac{24+30.984}{32} or t = \frac{24-30.984}{32}

t = \frac{54.984}{32} or t = \frac{-6.984}{32}

t = 1.71825 or t = -0.21825

But time can't be negative;

So:

<em>Time to hit the ground is 1.71825 seconds</em>

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