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JAMB Mathematics 2020 Question 17

Question 17

Algebraic Expressions

Make t the subject of formula S = ut + ½at²?

  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: B (1/a[−u ± √(u² + 2as)])

Explanation

Rearrange to at² + 2ut − 2S = 0 and use the quadratic formula: t = (1/a)[−u ± √(u² + 2aS)].