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maria [59]
2 years ago
10

Need help understanding the formula

Mathematics
2 answers:
ololo11 [35]2 years ago
6 0

For this case we have the following equation:

H (t) = -16t ^ 2 + vt + s

Where,

t: time

v: initial speed

s: initial height

Substituting values we have:

H (t) = -16t ^ 2 + 15t + 4

By the time the ball hits the ground we have:

-16t ^ 2 + 15t + 4 = 0

From here, we clear the value of time:

Using the quadratic equation we have:

t=\frac{-15+/-\sqrt{15^2-4(-16)(4)}}{2(-16)}

Doing the calculations we have:

t1=-0.217\\t2=1.154

Discarding the negative root, we have that the time is:

t=1.154

Answer:

it takes the ball to hit the floor about:

1.15 seconds



NeX [460]2 years ago
4 0
<span>v is the initial speed and s is the initial height so the equation is

</span>h(t) = -16t^2+15t+4

<span>Set h(t) equal to 0 and solve for t
</span>
-16t^2+15t+4=0&#10;\\a=-16,b=15,c=4&#10;\\x_{1,2}= \frac{-b \pm \sqrt{b^2-4ac}}{2a}= \frac{-15 \pm \sqrt{15^2-4(-16)4}}{2(-16)}=\frac{-15 \pm \sqrt{225+256}}{-32}=\frac{-15 \pm \sqrt{481}}{-32}&#10;\\x_1=\frac{-15 + \sqrt{481}}{-32} \approx -0.22&#10;\\x_1=\frac{-15 - \sqrt{481}}{-32} \approx 1.15

Time must be positive, so the result is 1.15 seconds.
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