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ale4655 [162]
3 years ago
6

An object of mass 600 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assum

ing the force due to air resistance is proportional to the velocity of the object with proportionality constant bequals50 ​N-sec/m, determine the equation of motion of the object. When will the object strike the​ ground? [Hint: Here the exponential term is too large to ignore. Use​ Newton's method to approximate the time t when the object strikes the​ ground.] Assume that the acceleration due to gravity is 9.81 m divided by sec squared.
Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

15 sec

Step-by-step explanation:

Data:

let m = 600 kg

    b  = 50

the differential equation will be:

m\frac{dv}{dt} = mg - bv(t)

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Write an inequality for x that would give this isosceles triangle and perimeter of at least 137 ft. 4x+3 2x+7
neonofarm [45]

Answer:

The inequality is 8x+17\geq 137

Step-by-step explanation:

Given : The isosceles triangle with base and side 4x+3, 2x+7.

And the perimeter is at least 137ft.

To write : An inequality for x

Solution : Let the base b=4x+3 and sides s=2x+7

The perimeter of Isosceles triangle is P=2s+b

where s=side and b=base

Now, we have given that perimeter is at least 137 ft.

Therefore, the inequality form is

2(2x+7)+(4x+3)\geq 137

4x+14+4x+3\geq 137

8x+17\geq 137

5 0
3 years ago
Are 12d +36 and 12(d+3) equivalent
Nina [5.8K]

Answer:

Yes

Step-by-step explanation:

They are equivalent as 12d + 36 is the expanded form of 12(d + 3)

4 0
2 years ago
Read 2 more answers
A 6-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of x.
Vikki [24]

Answer:

6 – x ft

Step-by-step explanation:

If a 6-foot board is cut in two pieces, both lengths could be anything that add up to 6 feet since the problem did not specify where the board was cut.

So if one piece is x feet long, the other must be 6 - x feet long because:

x + (6 – x) = 6

7 0
3 years ago
The diffence of a number t and 22
Sholpan [36]
It means t-22 because difference means subtract
4 0
2 years ago
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Your client’s PD is 62. The frame eyesize is 48, and the DBL is 18. When you block this lens, how much will the decentration per
enyata [817]

Answer:

2 mm

Step-by-step explanation:

Remember that the formula is: (DBC-PD) ÷ 2

and

DBC = DBL + frame eye size.

The correct answer is: 2 mm

6 0
3 years ago
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