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juin [17]
3 years ago
6

Find the instantaneous velocity s(t)=6-14t at t=6

Mathematics
1 answer:
lora16 [44]3 years ago
3 0
If that is the position function, velocity is the derivative of it.

v(t)=-14

Since velocity is a constant -14, the value of t has no bearing on the result.  The instantaneous velocity is always -14.
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2 years ago
Answer ASAP. Please give correct answer. (Involves a bunch of circles and trig identities)
iren [92.7K]

Answer:

45.40

Step-by-step explanation:

First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:

y=acoshxa

You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:

a+30=acoshd2a(1)

The lenght of the catenary is given by the following formula (which can be proved easily):

s=asinhx2a−asinhx1a

where x1,x2 are x-cooridanates of ending points. In our case:

80=2asinhd2a

40=asinhd2a(2)

You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.

Square (1) and (2) and subtract. You will get:

(a+30)2−402=a2

Calculate a from this equation, replace that value into (1) or (2) to evaluate d.

My calculation:

a=353≈11.67

d=703arccosh257≈45.40

7 0
3 years ago
Please help me :////
Dahasolnce [82]

Answer:

34

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Choose the abbreviation of the postulate or theorem that supports the conclusion that WAS NOT. Given: A = O, W = N, SW = TN.
BartSMP [9]
The answer is ASA. 
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4 0
3 years ago
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