Question

If v2 = u2 + 2as, evaluate a when v = 5,
u = 2 and s = 7.​

Answer 1

a = 3/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define

v² = u² + 2as

v = 5

u = 2

s = 7

Step 2: Evaluate

1. Subtract u² on both sides: v² - u² = 2as
2. Divide 2s on both sides: (v² - u²)/(2s) = a
3. Rewrite: a = (v² - u²)/(2s)
4. Substitute: a = (5² - 2²)/(2 · 7)
5. Exponents: a = (25 - 4)/(2 · 7)
6. Multiply: a = (25 - 4)/14
7. Subtract: a = 21/14
8. Simplify: a = 3/2