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3 years ago

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Help me with this one

1 answer:

tekilochka [14]3 years ago

3 0

The answer to the question

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

3 years ago

Write an expression to representi<br> Six more than the quotient of four and a number .

faltersainse [42]

There is black white pants in my room

6 0

3 years ago

What is three and one third divided by two aand one third?

grin007 [14]

1 3/7 ~ One and three sevenths

4 0

3 years ago

1,290=h/10+h/5 What is h?

alekssr [168]

Answer:

4300

h/10 + 2h/10

= 1290

3h/10 = 1290

3h = 12,900

h = 4300

6 0

3 years ago

Read 2 more answers

Heeeeeelp! I’m literally so behind

olchik [2.2K]

Answer:

That would be 9 my good sir ( or ma'am )

Step-by-step explanation:

basicly round the 61 so that there would not be a remainder and divide 54 by 6 you will get 9, so therefore the same case is for 540 by 60.

Have a nice day

7 0

3 years ago