A player kicks a football from ground level with a velocity of 26.2m/s at an angle of 34.2° above the horizontal. What is the footballs hang time, maximum height and range?

Answer;

Hang time = 3.0 s

Range = 65.06 m

Maximum Height = 11.05 m

Solution;

Hang time is given by the formula;

T = 2vₒsinθ/g

Thus;

T = 2 * (26.2) sin34.2 / 9.81

= 3.0 s

Range is given by the formula;

R = vₒ²sin2θ/g

= 26.2²sin (2*34.2) / 9.81

= 65.06 m

Max height is given by the formula;

H = vₒ²sin²θ/2g

Thus;

H = 26.2²sin²34.2 / (2*9.81)

= 11.05 m