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# Projectile Motion Calculator

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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.

## Steps

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

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

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

## Problems

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/s2

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/s2

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