If an athlete runs at a speed of 12 m/s, what is the longest jump he can make (g = 10 m/s²)?

14.4 m

7.2 m

12 m

6 m

The maximum range of a projectile (ignoring air resistance) is given by:

$R =v^^{2} sin ( 2 θ )/$ g

The maximum range occurs when $θ = 4 5^{\circthe value is maximum at}$ (i.e., $sin (9 0^{\circ}) = 1$ ).

$R = 1 2^ ^{2} \cdot 1$

$= 144/10$

$= 14.4 meters$