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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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User MikeT
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4 votes

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;


R=u^(2)sin2\alpha/2g

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


u=26mls\\\alpha=30^(o)\\g=9.81m/s^(2)

The value of g could be safely assumed to be
9.8m/s^(2)

Therefore;


R=26^(2)sin2(30)/9.8


R=(26*26*sin60)/9.8


R=676*0.8660/9.8


R=59.68m which is approximately 60m to nearest meter.

User James Wilkins
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