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Lina20 [59]
3 years ago
9

At time, t, in seconds, your velocity, v, in meters/second, is given by v(t)=6+(t^2), 0 (=)t(=)6. Use (delta)t= 2 to estimate th

e distance traveled during this time.
Find the upper and lower estimates, and then average the two. find the upper estimate of distance traveled, find the lower estimate of distance traveled, and find the average.
Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer:

Total distance is 8 meters.

Step-by-step explanation:

First, let's take the equation and analyse it:

v(t) = 6 + t²

The delta t = 2

To find the acceleration, we need to differentiate v with respect to t like this:

dv/dt = d/dt (6 + t²)

         = 2t

At t = 2, the change in velocity (dv/dt) = 2×2 = 4 m/s². This is the acceleration,a

The final velocity is given by v = 6 + (2)²

                                                   = 10 m/s

The distance is given by the formula:

s = ut + 1/2at²

initial velocity, u = 0

Therefore, the equation becomes s = 1/2at²

                                                            = 1/2× 4×4

                                                             =<u> 8 m Ans</u>

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Answer:

72.50

Step-by-step explanation:

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nignag [31]

Answer:

3 miles on Monday

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Step-by-step explanation:

We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day

This means that John runs ³/₅ times as far as Bonnie.

MONDAY:

Bonnie runs 5 miles on Monday, therefore, John runs:

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TUESDAY:

Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:

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WEDNESDAY:

Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:

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6 0
2 years ago
Please Help! Thanks to whoever can answer this!
Illusion [34]
Here, we are missing the slope and the y intercept. 

Lets look for the y intercept first. 

Where does it cross the y axis?  At 3!!

3 is the y intercept. 

Now, find the slope by using the slope formula. 

m =  \frac{y2 - y1}{x2 - x1}
(0,3) and (2,1)

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