Projectile motion is something that a body undergoes when it is thrown in air. The path taken by the projectile motion is called **trajectory**. A bomb released from an aeroplane in level flight, bullet getting fired from gun, an athlete throws a javelin illustrates the trajectory motion.

**Trajectory formula** is given by

Where,y is the horizontal component,

x is the vertical component,

g= gravity value,

v= initial velocity,

$\theta$ = angle of inclination of the initial velocity from horizontal axis,

Trajectory related equations are

Where,

V

sin $\theta$ is the y-axis vertical component ,

cos $\theta$ is the x-axis horizontal component.

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Trajectory Calculator | Projectile Trajectory Calculator |

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Given: $\theta$ = 60

The horizontal distance is given by

x = v

x = 15 m/s

y = x tan $\theta$ - $\frac{gx^2}{2v^2 cos^2 \theta}$

= x tan $\theta$ - $\frac{gx^2}{2v^2 cos^2 \theta}$

= 15 m/s

= 22.4 m.

Initial velocity v

R = $\frac{v_o^2 sin 2 \theta}{g}$

= $\frac{(10m/s)^2 sin 60^o}{9.8 m/s^2}$

= $\frac{(100 m^2/s^2 \times 0.866}{9.8 m/s^2}$

= 8.836 m.