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

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.