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:
They should purchase the snack with the purple box. This is the answer for 23, i don't know what 24 is sorry.
Step-by-step explanation:
24÷3=8
8×5=40
so the first snacks would cost them $40.
then:
24÷4=6
6×6=36
so the second snacks would cost them $36
Answer:
$72693.9
Step-by-step explanation:
To get this answer you need to use the compound interest formula, which will be A=P(1+r/n)^n(t). P=59,000 r=11%=0.11 n=1 (annually) t=2 years. From there you should be able to figure the rest out and get the answer. Hope this helps!
The answer is 2 1/2kg = <span>2500 g</span>
Answer:
-m^4n^4
--------------
108
Step-by-step explanation: