Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Area of a Rectangle: A = lw
<u>Algebra I</u>
- Exponential Property:

<u>Calculus</u>
Derivatives
Differentiating with respect to time
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Explanation:
<u>Step 1: Define</u>
Area is A = lw
2w = l
w = 300 m

<u>Step 2: Rewrite Equation</u>
- Substitute in <em>l</em>: A = (2w)w
- Multiply: A = 2w²
<u>Step 3: Differentiate</u>
<em>Differentiate the new area formula with respect to time.</em>
- Differentiate [Basic Power Rule]:

- Simplify:

<u>Step 4: Find Rate</u>
<em>Use defined variables</em>
- Substitute:

- Multiply:

- Multiply:

Answer:
The value is 
Explanation:
From the question we are told that
The velocity of the each of the three cars is 
The velocity of the fourth car is 
The initial velocity of the fifth car 
Generally from the law of momentum conservation we have that
![m_1 u_1 + m_2 u_2 + m_3 u_3 +m_4u_4 + m_5u_5 = [m_1 + m_2 + m_3 +m_4+ m_5]v](https://tex.z-dn.net/?f=m_1%20u_1%20%2B%20m_2%20u_2%20%2B%20m_3%20u_3%20%2Bm_4u_4%20%2B%20m_5u_5%20%3D%20%20%5Bm_1%20%20%20%2B%20m_2%20%2B%20m_3%20%2Bm_4%2B%20m_5%5Dv)
Given that the cars are identical then their mass will be the same
i.e

=> ![[u_1 + u_2 + u_3 +u_4 + u_5]m = 5mv](https://tex.z-dn.net/?f=%5Bu_1%20%2B%20u_2%20%2B%20%20u_3%20%2Bu_4%20%2B%20u_5%5Dm%20%3D%20%205mv)
=> 
= > 
Answer:
C
Explanation:
This is because it is a liquid
<h2>
Answer:</h2>
|B| = 47.0 units
<h2>
Explanation:</h2>
The sum of two vectors (A) and (B) gives another vector (A + B). i.e
(A + B) = (A) + (B) ----------------(i)
<em>From the question;</em>
Vector A = 28.0 units in the positive y-direction. This means that the value of the x-component is zero and the value of the y-component is +28
In unit vector notation vector A is given as;
A = 0i + 28.0j
Vector A + B = 19.0 units in the negative y-direction. This means that the value of the x-component is zero and the value of the y-component is -19.0
In unit vector notation, vector A + B is given as;
A + B = 0i - 19.0j
To get the magnitude of vector B, make B the subject of the formula in equation (i) as follows;
(B) = (A + B) - (A) ------------------ (ii)
Substitute the values of the vectors (A) and (A + B) into equation (ii) as follows;
(B) = (0i - 19.0j) - (0i + 28.0j)
(B) = - 19.0j - 28.0j
(B) = - 47.0j
The magnitude of B, |B|, is therefore;
|B| = |-47.0|
|B| = 47.0 units