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Y_Kistochka [10]
4 years ago
13

A rock is dropped from a height of 64 ft. It is determined that its height (in feet) above ground t seconds later (for 0 ≤ t ≤ 2

) is given by s(t) = -16t²+64. Find the average velocity of the rock over each of the given time intervals. Use this information to guess the instantaneous velocity of the rock at time.
Mathematics
1 answer:
ser-zykov [4K]4 years ago
8 0

Answer:

The average velocity of the rock would be 32 ft per second.

Step-by-step explanation:

A rock has been dropped from a height of 64 ft.

Height of the rock is determined after time 't' by the expression.

S(t) = -16t² + 64

Where 0 ≤ + ≤ 2

Total distance traveled by the rock in

2 seconds = 64 feet

Therefore average velocity = \frac{64}{2} = 32 ft per second

The average velocity of the rock would be 32 ft per second.

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Lana71 [14]

First, convert the 25% to a real mathematical number. For percents, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $100 is. This is the amount of the sale discount. This is always found by mulitplying 0.250 by the item's cost $100, like this:

0.250 x $100 = $25.00.

So for this sale, you'll save $25.00 on this item.

This means, the cost of the item to you is

$100 - $25.00 = $75.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $100 = $75.00.

Just like the result above, the sale price on the item is $75.00.

Hope this helps you on your assignment! :)

5 0
3 years ago
Which of these sets of angle measures could be three angles in a triangle
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8 0
3 years ago
Read 2 more answers
The slope of the tangent line to the curve x^3y+y^2-x^2=5 at the point (2,1) is
zheka24 [161]

Answer:

-4/5

Step-by-step explanation:

To find the slope of the tangent to the equation at any point we must differentiate the equation.

x^3y+y^2-x^2=5

3x^2y+x^3y'+2yy'-2x=0

Gather terms with y' on one side and terms without on opposing side.

x^3y'+2yy'=2x-3x^2y

Factor left side

y'(x^3+2y)=2x-3x^2y

Divide both sides by (x^3+2y)

y'=(2x-3x^2y)/(x^3+2y)

y' is the slope any tangent to the given equation at point (x,y).

Plug in (2,1):

y'=(2(2)-3(2)^2(1))/((2)^3+2(1))

Simplify:

y'=(4-12)/(8+2)

y'=-8/10

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5 0
3 years ago
Avery has 125 animal stickers. She gave 5 animal stickers to each of her 10 friends. HoW many animal stickers she have left? Wha
Angelina_Jolie [31]

Answer:

75

Step-by-step explanation:

125-(5*10)        

125-(50)

75

3 0
3 years ago
How to simplify this?
olchik [2.2K]
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