A football is kicked at an angle of 45° to the horizontal over a defense...

PHYSICS
WAEC 2018

A football is kicked at an angle of 45° to the horizontal over a defense line up with a velocity of 15\(ms^{-1}\). Calculate the magnitudeof horizontal velocity of the ball at its highest point [Neglect friction, g = 10\(ms^{-2}\)].

  • A. 0.0\(ms^{-1}\)
  • B. 5.6\(ms^{-1}\)
  • C. 10.6\(ms^{-1}\)
  • D. 15.0\(ms^{-1}\)

Correct Answer: C. 10.6\(ms^{-1}\)

Explanation

The horizontal component of velocity, \(V_{x}\), is unaffected by the acceleration of free fall and remains constant.

\(V_{x} = U_{x} = Ucos\theta\)

= \(15 \times cos45 = 15\times 0.7071\)

\(\approxeq 10.6ms^{-1}\)



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