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Brums [2.3K]
3 years ago
15

A skydiver jumps from an airplane at an altitude of 2,500 ft. He falls under the force of gravity until he opens his parachute a

t an altitude of 1,000 ft. Approximately how long does the jumper fall before he opens his chute? For this quadratic model we will let the y-axis be the axis of symmetry.
Mathematics
2 answers:
Stolb23 [73]3 years ago
6 0

Answer:

9.7 seconds to the nearest tenth.

Step-by-step explanation:

He falls for a distance of 1,500 ft.

We use the equation of motion  s = 1/2 * 32 * t^2   where s = distance and t = time.

1500 = 16 * t^2

t^2  = 93.75

t =  9.7 seconds answer.

vichka [17]3 years ago
5 0

Answer:

9.7

Step-by-step explanation:

minus 1,000 ft (the height he opened his parachute) from 2,500 (the height of which he started)

This will give you the distance of his fall

1,500 ft.

Then, use the equation of motion which is s = 1/2 * 32 * t^2  

where s represents distance and t is time

1500 = 16 * t^2

t^2  = 93.75

Then simply round to the nearest tenth and it will be on the test :)

I really just ignored the equation it gives to solve it sorry.

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Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

        =(2r \pi \triangle r)(\frac{40}{1+r^2}})

Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

                     =40\pi ln(26)

                     = 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0
2 years ago
How do you do number 2
frozen [14]

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8 0
3 years ago
A gift box’s rectangular base has a perimeter of 92 centimeters. The length of the base is one more than twice the base’s width.
kozerog [31]
Assume that the length of the rectangle is "l" and that the width is "w".

We are given that: 
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II

Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15

Substitute with w in equation I to get the length as follows:
l = 2w + 1 
l = 2(15) + 1
l = 30 + 1 = 31

Based on the above calculations:
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3 0
3 years ago
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Mnenie [13.5K]

Answer:

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Step-by-step explanation:

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3 0
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Four teams A,B,C, and D compete in a tournament, and exactly one of them will win the tournament. Teams A and B have the same ch
beks73 [17]

Answer:

A= 0,2

B= 0,2

C= 0,4

D=0,2

Step-by-step explanation:

We know that only one team can win, so the sum of each probability of wining  is one

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then we Know that the probability of Team A and B are the same, so

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Also, we know that team C is twice as likely to win the tournament as team D, so P(C)= 2 P(D) so P(D) = P(C)/2= (0.6-P(A))/2

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P(D)=0,2

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