Advanced MathEasy–MediumQuadratic equation from a formula
Advanced Math practice question
The kinetic energy E of a cart, in joules, is given by E = 2v² − 8, where v is its speed in metres per second and v > 2. What is v when E = 42?
Answer: 5
2v² − 8 = 42 gives 2v² = 50, v² = 25, v = 5.
Common wrong answers
- If you answered 17
- 17 is 34/2, forgetting the square root.
- If you answered 25
- 25 is v², not v.
- If you answered 4.1
- 4.1 is √17, subtracting 8 instead of adding.
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