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Lynna [10]
3 years ago
7

An object is launched upward

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Check the picture below.  The picture is using feet, but is pretty much the same trajectory for meters.

so the object hits the ground when y = 0, thus

\bf ~~~~~~\textit{initial velocity} \\\\ \begin{array}{llll} ~~~~~~\textit{in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \end{array} \quad \begin{cases} v_o=\stackrel{12}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{62.5}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\\\ h(t)=-4.9t^2+12t+62.5\implies \stackrel{\textit{hitting the ground}}{\stackrel{h(t)}{0}=-4.9t^2+12t+62.5}

\bf ~~~~~~~~~~~~\textit{using the quadratic formula} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{+12}t\stackrel{\stackrel{c}{\downarrow }}{+62.5} \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t=\cfrac{-12\pm\sqrt{12^2-4(-4.9)(62.5)}}{2(-4.9)}\implies t=\cfrac{-12\pm\sqrt{144+1225}}{-9.8} \\\\\\ t=\cfrac{12\mp\sqrt{1369}}{9.8}\implies t=\cfrac{12\mp 37}{9.8}\implies t= \begin{cases} \stackrel{\approx}{-2.55}\\ 5 \end{cases}

we can't use -2.55, since it's seconds and can't be negative, so t = 5 seconds later.

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3 years ago
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The triangle will translate along the arrow and reach the head of the arrow.

Step-by-step explanation:

Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

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In the given figure, the triangle is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.

For more explanation, refer the following link:

brainly.com/question/17540330

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3 years ago
Lisa's age is 4 yrs. older than three times Sammy's age. Lisa is 28 yrs. old. Let's represent Sammy's age.
masha68 [24]

Answer:

D

Step-by-step explanation:

So it'd be

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8 0
2 years ago
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Nool
larisa [96]

Answer:

Step-by-step explanation:

4x = 60

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4 0
3 years ago
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