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Scilla [17]
3 years ago
7

You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a river. You find that you ca

n run, grab the rope, swing out over the river, and drop into the water. You run at 2.0 m/s and grab the rope, launching yourself out over the river.
Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

Vertical angle=9.5°

Time to reach maximum height = 1.24seconds

Step-by-step explanation:

The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.

Where theta is the vertical angle, U=2m/s and L= 15m

2gl -2glcostheta=U^2

2gl U^2=2gl cos theta

But theta= Acos(1- U^2)/2gl

Acos(1-/(2×9.8×15)

Theta =9.5°

Maximum height li given by

Lsintheta

But X= UxT

T=X/UX= Lsintheta/U = 15sin9.5 /2 =1.24seconds

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2 years ago
What is 10^x=1/100?<br> solve for x
klio [65]

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Step-by-step explanation:

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2 years ago
Jackson spends 214 hours painting 212 pictures. He spends the same amount of time painting each picture. How much time, in hours
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3 years ago
A triangle has integer length sides. If two sides of the triangle are 16 and 21, how many possible lengths are there for the thi
r-ruslan [8.4K]

There are 31 possible lengths for the third side.

Unknown Side +  16 > 21

Unknown Side >  5

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The length of the third side of a triangle has to continually be among (but not equal to) the sum and the distinction among the alternative facets. As an instance, take the example of two, 6, and seven. and consequently, the 0.33 facet length has to be extra than four and less than eight.

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8 0
2 years ago
The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000 where x is the number of rides.
MissTica

Answer: 100 rides are needed to break even.


Step-by-step explanation:

We have given the cost function

C(x)=15x+2000 where x is the number of rides.

And rides cost 35$

⇒ revenue function would be 35 times x

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⇒35-15x=2000[subtract 15x from both sides]

⇒20x=2000 [simplify]

⇒x=2000/20[dividing both sides with 20]

⇒x=100

∴ 100  rides are needed to break even.

6 0
3 years ago
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