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JAMB Mathematics 1992 Question 10

Question 10

Algebraic Expressions

Make t the subject of formula 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

Rearrange as ½at2 + ut − s = 0 and use the quadratic formula: t = [−u ± √(u2 + 2as)]/a.