A player kicks a soccer ball from ground level and sends it flying at an angle of 30 degrees at a speed of 26 m/s. How far did the ball travel before it hit the ground? Round the answer to the nearest meter.

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Answer:

60m (to nearest meter)

Explanation: How far the ball traveled refers to the range covered by the ball before it hits the ground. For an object projected at an angle of ∝ to the horizontal, the range, R covered is given by;

[tex]R=u^{2}sin2\alpha/2g[/tex]

Where u is the initial velocity and g is acceleration due to gravity.

[tex]u=26mls\\\alpha=30^{o}\\g=9.81m/s^{2}[/tex]

The value of g could be safely assumed to be [tex]9.8m/s^{2}[/tex]

Therefore;

[tex]R=26^{2}sin2(30)/9.8[/tex]

[tex]R=(26*26*sin60)/9.8[/tex]

[tex]R=676*0.8660/9.8[/tex]

[tex]R=59.68m[/tex] which is approximately 60m to nearest meter.