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dimulka [17.4K]
3 years ago
12

Need help on ratio table

Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

80.8, 40.4, 20.2, 10.1 (the numbers are going in half.)

1024, 512, 256, 128. (also going in half.)

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posledela
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3 years ago
A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

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You can learn more about derivatives at brainly.com/question/14800626

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h = 2A/b

110 = 1/2(11)h

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The answer Is H = 20

Hope this helps (:
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The answer is 1,572 please give this a THANKS and also the BRAINIEST ANSWER/CROWN! :) :D
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