A particle began to move at \(27 ms^{-1}\) along a straight line with constant retardation...

FURTHER MATHEMATICS
WAEC 2023

A particle began to move at \(27 ms^{-1}\) along a straight line with constant retardation of \(9 ms^{-2}\). Calculate the time it took the particle to come to a stop.

  • A. 3 sec
  • B. 2 sec
  • C. 4 sec
  • D. 1 sec

Correct Answer: A. 3 sec

Explanation

\(u = 27 ms^{-1}; a = -9 ms^{-2}; v = 0; t = ?\)

\(v = u + at; t = \frac{v - u}{a}\)

\(t = \frac{0 - 27}{-9} = \frac{-27}{-9}\)

\(\therefore t = 3 sec\)



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