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german
3 years ago
14

Question 4 Unsaved

Biology
1 answer:
Alex3 years ago
3 0

The correct answer is the mall directory.  

Like nucleus that stores genetic material in the form of DNA, the directory of mall stores all the major information of the mall, that is, the directory tells each and every information of the mall.  

Apart from storing hereditary material of the cell, that is, DNA, the nucleus also performs various activities of the cell that comprises intermediary metabolism, growth, reproduction, and protein synthesis. Only the eukaryotes exhibit a nucleus.  


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❥SCIENCE SUBJECT
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9514 1404 393

Answer:

  • time: 1.122 seconds
  • range: 10.693 m
  • maximum height: 1.543 m

Explanation:

<u>Given</u>:

  runner is launched at 30° angle to horizontal at 11 m/s

  acceleration due to gravity is g = -9.8 m/s²

<u>Find</u>:

  runner's hang time

  runner's distance to the landing point

  runner's maximum height

<u>Solution</u>:

The (horizontal, vertical) speed components will be ...

  (11 m/s)(cos(30°), sin(30°)) = (5.5√3 m/s, 5.5 m/s)

The time of flight can be found from the height formula:

  h(t) = 1/2gt² +vt . . . . . . where v is the vertical speed at launch

The time we're concerned with is the time when h(t)=0 and t>0.

  0 = -4.9t^2 +5.5√3t = t(-4.9t +5.5√3)

The second factor is zero when ...

  t = (5.5√3)/4.9 ≈ 1.122 . . . seconds hang time

__

The distance to the landing point will be the product of horizontal speed and hang time:

  d = (5.5 m/s)(5.5√3/4.9 s) ≈ 10.693 m . . . . distance to landing

__

The maximum height can be found from the formula (based on conversion of kinetic energy to potential energy) ...

  h = v²/|2g| = (5.5 m/s)²/(2(9.8 m/s²)) ≈ 1.543 m . . . . maximum height

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