Question

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.

Answer 1

what are your answers?

Answer 2

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.