What Is Projectile Motion?

Understanding projectile motion is as simple as throwing a ball in the air. When an object moves along a curved path under the influence of gravity, that movement is called projectile motion.
You see it every day — a basketball arcing toward the hoop or a soccer ball flying toward the goal. The curved path happens because gravity pulls the object downward while it’s still moving forward.
Projectile motion depends on three key factors:
Initial speed: how fast the object is launched.
Launch angle: how steeply it’s thrown.
Gravity: the force pulling it downward at 9.8 m/s².

If you want to skip complex equations, use our online projectile motion calculator to find out how high or far an object will travel.

How to Use the Projectile Motion Calculator

You don’t need to be a physics expert to use the All Calculator Projectile Calculator. Just follow the steps below for instant, accurate results.

Step 1: Enter Your Known Values

Input the values you already know:
• Initial velocity (m/s)
• Launch angle (°)
• Initial height (m) — enter 0 if unknown.

Step 2: Click “Calculate”

Once all values are entered, simply click the "Calculate" button to get instant results.

Step 3: View Your Results

The Projectile Motion Calculator will display:
• Time of flight
• Maximum height
• Horizontal range
• Final velocity

The Formula for Projectile Motion

The calculator uses real physics formulas that split the motion into horizontal and vertical components:

Time of Flight:
t = (2v sin(θ)) / g

Maximum Height:
H = (v² sin²(θ)) / (2g)

Horizontal Range:
R = (v² sin(2θ)) / g

All values are calculated using g = 9.8 m/s².

Examples – Projectile Motion Exercises

Example 1:
A ball thrown at 30° with an initial velocity of 20 m/s.
Results:
• Time of flight: 2.039 s
• Maximum height: 5.097 m
• Range: 35.312 m
• Time to max height: 1.019 s

Example 2:
A rock launched at 45° with a velocity of 15 m/s.
Results:
• Time of flight: 2.16 s
• Maximum height: 5.74 m
• Range: 22.9 m

Example 3:
A soccer ball kicked at 60° with a speed of 25 m/s.
Results:
• Time of flight: 4.42 s
• Maximum height: 23.9 m
• Range: 55.0 m

Example 4:
A cannonball fired at 20° with a speed of 40 m/s.
Results:
• Time of flight: 2.79 s
• Maximum height: 7.8 m
• Range: 104.7 m

Try these examples using the All Calculator Projectile Calculator to see how fast you can get accurate results!

Why Choose All Calculator?

• Fast & Error-Free: Get precise results instantly.
• Perfect for All Ages: Great for middle school, college, or university students.
• 100% Free & Online: No sign-ups or downloads — just quick, reliable results.

FAQs

Can I use this calculator for my physics project or assignment?

Absolutely! Our projectile motion problem solver can be used for school, college, or personal learning projects.

What values do I need before using this calculator?

You just need to know the initial velocity, launch angle, and height (if applicable).

Is it free to use?

Yes, All Calculator provides this tool completely free, no hidden fees or subscriptions.

What is the formula for projectile motion used here?

It uses standard equations for time of flight, maximum height, and horizontal range with gravity set to 9.8 m/s².

Can it calculate projectile motion at different angles?

Yes, you can enter any angle value (in degrees), and our projectile calculator will instantly update your results.

Does it work for vertical launches?

Yes! Simply set the angle to 90° to calculate straight-up motion.

Simplify Your Physics with All Calculator

Solve your projectile motion problems instantly with All Calculator — fast, accurate, and free. Whether you’re learning, teaching, or experimenting, this tool makes physics simple and enjoyable.