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d1i1m1o1n [39]
3 years ago
7

How do I solve this???

Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer:

by using the graph!

Step-by-step explanation:

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The position equation for a particle is s of t equals the square root of the quantity t cubed plus 1 where s is measured in feet
vladimir1956 [14]
\bf s(t)=\sqrt{t^3+1}
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\cfrac{ds}{dt}=\cfrac{1}{2}(t^3+1)^{-\frac{1}{2}}\cdot 3t^2\implies \boxed{\cfrac{ds}{dt}=\cfrac{3t^2}{2\sqrt{t^3+1}}}\leftarrow v(t)
\\\\\\
\cfrac{d^2s}{dt^2}=\cfrac{6t(2\sqrt{t^3+1})-3t^2\left( \frac{3t^2}{\sqrt{t^3+1}} \right)}{(2\sqrt{t^3+1})^2}\implies 
\cfrac{d^2s}{dt^2}=\cfrac{ \frac{6t(2\sqrt{t^3+1})-1}{\sqrt{t^3+1}} }{4(t^3+1)}

\bf \cfrac{d^2s}{dt^2}=\cfrac{6t[2(t^3+1)]-1}{4(t^3+1)\sqrt{t^3+1}}\implies 
\boxed{\cfrac{d^2s}{dt^2}=\cfrac{12t^4+12t-1}{4t^3+4\sqrt{t^3+1}}}\leftarrow a(t)\\\\
-------------------------------\\\\a(2)=\cfrac{215~ft^2}{44~sec}
8 0
3 years ago
Read 2 more answers
Point K on the number line shows Kelvin's score after the first round of a quiz: In round 2, he lost 9 points. Which expression
weqwewe [10]

Complete question :

Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3

Answer: 3 + (−9) = −6, because −6 is 9 units to the left of 3

Step-by-step explanation:

Given the following :

Width of number line = - 10 to + 10

Point K on the number line = +3 ( kelvin's score after the first round of quiz).

If Kelvin losses 9 points in round 2  = - 9

Hence at the end of round 2, He'll have a total of :

Point at the end of round 1 + point lost in round 2

3 + (-9) = - 6

6 0
3 years ago
The graph represents the height y, in meters, above the ground of a water balloon x seconds after it is dropped from a window.
Nezavi [6.7K]
The balloon is in the air for 3sThe max height is 44mThe max height occurs at x=0

6 0
3 years ago
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lesantik [10]

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3 0
3 years ago
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What do the meter, liter, and gram all have in common?
Margaret [11]

Answer:

They are all the basic units of measure in the metric system

Step-by-step explanation:


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3 years ago
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