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What is the fastest speed at which a tennis ball can cross the net horizontally and still land in the court? From the net to the end line is 12 m, and the height of the net is 1 m. Neglect air resistance and spin on the ball.

A. 0.04 m/s
B. 27 m/s
C. 53 m/s
D. 45 m/s

self note *6

Answer :

latonyaaa

Answer:

B. 27 m/s

Explanation:

onyebuchinnaji

The horizontal velocity of the ball is 27 m/s

The given parameters;

  • horizontal distance, x = 12 m
  • height of the net, h = 1 m

The time of motion is calculated as;

h = ut + ¹/₂gt²

1 = 0 + (0.5 x 9.8)t²

1 = 4.9t²

[tex]t^2 = \frac{1}{4.9} \\\\t^2 = 0.205\\\\t = \sqrt{0.205} \\\\t = 0.45 \ s[/tex]

The horizontal velocity of the ball is calculated as;

X = uₓt

[tex]u_x = \frac{X}{t} = \frac{12}{0.45} = 26.7 \ m/s \ \approx 27 \ m/s[/tex]

Thus, the horizontal velocity of the ball is 27 m/s

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