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rewona [7]
3 years ago
6

Please help me out on this !

Mathematics
1 answer:
vichka [17]3 years ago
8 0
All to red 13:8
Green to all 5:13
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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

Hence 1 second.

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

7 0
2 years ago
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replaci
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Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

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1 year ago
In a class of 500 students a hundred and sixty have 320 have brown eyes and 20 green in a class of 25 students how many would ha
saveliy_v [14]

Is your question right because you said 500 students a hundred and sixty have 320 have brown eyes?


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3 years ago
Raquel obtained a 30-year, $185,000 mortgage at an annual interest rate of 3.6%, compounded monthly, to purchase her new home. C
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Answer:$84.11

Step-by-step explanation:

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3 years ago
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PLEASEE HELP!<br><br> What is the length of AD¯¯¯¯¯¯¯¯?
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Answer:

x = 1.9

Step-by-step explanation:

use SOH-CAH-TOA

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