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JAMB Mathematics 2020 Question 4

Question 4

Algebraic Expressions

Make t the subject of the formular s = ut + ½ at²

  1. A.1/a[−u ± √(u² − 2as)]
  2. B.1/a[−u ± √(u² − 2as)]
  3. C.1/a[u ± √(u² + 2as)]
  4. D.1/a[−u ± √(u² + 2as)]
Show the answer and explanation

Answer: D (1/a[−u ± √(u² + 2as)])

Explanation

Multiply by 2 and rearrange: at² + 2ut − 2s = 0. The quadratic formula gives t = [−2u ± √(4u² + 8as)]/(2a) = (1/a)[−u ± √(u² + 2as)].