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Projectile Motion Calculator
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Projectile Motion Calculator (Projectile Calculator) is an online tool for calculating Projectile Motion for Range easily. It takes the inputs and calculates the Projectile Motion for Range, so it is handy for solving problems requiring Projectile Motion for Range Calculations.

## Step by Step Calculation

Step 1 :

Projectile Motion for Range Formula:

Range: R = V02sin2θ / g
Initial velocity: V0 = square root of(Rg/sin2θ)
Acceleration of Gravity: g = V02sin2θ / R
Angle(θ) = 1/2*(arc sine(Rg/V02 ))
Where,
R = Range,
V0 = Initial velocity,
g = Acceleration of Gravity.

Step 2 :

State the equation you plan to use and plug in the values.

## Example Problems

1. ### A ship fires its guns with a speed of 78 m/s at an angle of 12° hits the target. Calculate the range from ship to target?

Step 1 :

Given that:
Initial velocity(V0) = 78m/s
angle(θ) = 12°
Range(R) = ?

Step 2 :

Substitue the given values in the formula:
Range: R = V02sin2θ / g
R = (78)2sin2(12) / 9.8 [ since g = 9.8m/s2]
R = 252.509m

R = 252.509m

2. ### What angle of elevation (projection angle) should a port cannon have in order to hit a pirate ship 800m off shore. Assume the muzzle velocity of the cannon ball is 150. m/s.

Step 1 :

Given that:
Initial velocity(V0) = 150m/s
Range(R) = 800m
angle(θ) = ?

Step 2 :

Substitue the given values in the formula:
Angle(θ) = 1/2*(arc sine(Rg/V02 ))
θ = 1/2*(arc sine(800×9.8/(150)2 ))[ since g = 9.8m/s2]
θ = 10.196