Choose the correct correspondence C R S T

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 derivative of the position, 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

The ordered pair (10,3) is in quadrant:

RUDIKE [14]

Answer:

1

Step-by-step explanation:

ordered pairs with both positive numbers are in Q1

4 0

2 years ago

Read 2 more answers

Whats the answer to 2y^0-(3y)^0

mrs_skeptik [129]

Answer:

1

Step-by-step explanation:

To answer this question, we need to that any number (except zero) raised to power 0 is equal to 1. With that in mind, let's solve this:

2y^0 - (3y)^0

= 2(1) - (1)

= 1

Note: 2y^0 = 2(y^0) = 2(1) = 2 whereas

(2y)^0 = 1

6 0

3 years ago

Will give brainlest answer pls help!

mojhsa [17]

You can use 2 step equations to solve real-world problems by assessing the situation, trial and error, As in for example;
if you cannot open a twist off bottle cap by turning it to the right. You have two options twisted to the left to loosen or turn it to the right and not open it”

“ Lefty Lucy righty tightly”

Or if you are married and your husband cheats on you you can do one or two of the following stay or a go

For example stay and be an idiot or go and love yourself and take everything he has

8 0

3 years ago

20 points!!!!! The table represents a linear function

Darya [45]

I believe the answer is 5. I multiplied 5 to -4 and that’s -20 and I’m guessing since slope-intercept form is y=Mx+b I’m thinking b=4 and the slope being 5 matches the output. -16=5(-4)+4

4 0

3 years ago