A body starts with an initial velocity of 20 m/s and moves with a uniform...

PHYSICS
WAEC 2023

A body starts with an initial velocity of 20 m/s and moves with a uniform acceleration, a, for 15 seconds. Which of the following equations represents the distance, S, traveled?

  • A. 300 + 56\(\frac{a}{2}\)
  • B. 300 + \(\frac{225a}{2}\)
  • C. 300 + \(\frac{225}{2a}\)
  • D. 300a + \(\frac{225}{2}\)

Correct Answer: B. 300 + \(\frac{225a}{2}\)

Explanation

u = 20 ms-1, t = 15 s

\(S = ut + 1/2 at^2\)

S = 20(15) + \(\frac{1}{2}× a × 15^2\)

∴ S = 300 + 225\(\frac{a}{2}\)



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