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A football is kicked at an angle of 45 to the h... - WAEC Physics 2018 Question

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 option: c

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

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

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

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

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