This online calculator helps to determine the range of a projectile motion. Range is nothing but the distance traveled by a projectile with velocity and through a particular angle. The formula for the range of a projectile motion is,

R = $\frac{{V_{0}}^{2}sin2\theta}{g}$

where, **R**= range,

**$V_{0}$**= initial velocity,

**$\theta$**= angle between the ground and projectile,

**g**= acceleration due to gravity.

**Step 1 :**From the given question, identify the given values.

**Step 2 :**Substitute these values and find the unknown quantity,

R = $\frac{{V_{0}}^{2}sin2\theta}{g}$.

Let us discuss the problems related to projectile motion.

### Solved Examples

**Question 1:**A particle follows the projectile motion, the velocity of the particle is 15m/s and the angle is 30°, find the range of the particle.

**Solution:**

Given measures are,

$V_{0}$ = 15m/s,

$\theta$ = 30°,

g = 9.8m/s

^{2}

The range of a projectile motion is,

R = $\frac{{V_{0}}^{2}sin2\theta}{g}$

R = $\frac{15^{2}\times sin60}{9.8}$

R = 19.88m

**Question 2:**The velocity of particle is given as 20m/s, if the angle of the particle is 15°, calculate the distance covered by the particle.

**Solution:**

Given measures are,

$V_{0}$ = 20m/s,

$\theta$ = 15°,

g = 9.8m/s

^{2}

The range of a projectile motion is,

R = $\frac{{V_{0}}^{2}sin2\theta}{g}$

R = $\frac{20^{2}\times sin30}{9.8}$

R = 20.40m