Using derivatives, it is found that:
i) 
ii) 9 m/s.
iii) 
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:

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

Item ii:

The speed is of 9 m/s.
Item iii:
Derivative of the velocity, hence:

Item iv:

The acceleration is of 6 m/s².
Item v:
t for which a(t) = 0, hence:




Hence 1 second.
You can learn more about derivatives at brainly.com/question/14800626
Answer : 2/4 children will have earlobes that are not attached
Answer:
He should travel directly
Step-by-step explanation:
Given
--- East
--- North
If he goes through east north direction, the distance (d) traveled is:



If he travels directly, the distance (d) is:
---- Pythagoras theorem




By comparison, he will travel the shortest distance if he travels directly because 
<em>Hence, he should travel directly</em>
Answer: 42.
Step-by-step explanation:
Answer:
Step-by-step explanation: