Projectile Motion Calculator

Calculate the range, maximum height, and flight time of a projectile given its initial velocity, launch angle, and initial height.

Initial Velocity

m/s

Launch Angle

Initial Height

Tab to move between fields

Horizontal Range

40.77 m

≈ 9 car lengths

Maximum Height

10.19 m

≈ 6 adult heights

Total Flight Time

2.88 s

Time to Max Height1.44 s

Impact Speed20 m/s

How to Use This Calculator

Enter Initial Velocity, Launch Angle, and Initial Height.
Review Horizontal Range (m), Maximum Height, and Total Flight Time (s).
Use Time to Max Height (s) and Impact Speed (m/s) to inform your decision.
Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Initial Velocity

Initial Velocity	Horizontal Range	Maximum Height	Total Flight Time
100	1,019.37 m	254.84 m	14.42 s
350	12,487.26 m	3,121.81 m	50.46 s
650	43,068.3 m	10,767.07 m	93.7 s
900	82,568.81 m	20,642.2 m	129.74 s

Initial Velocity: Speed at which the projectile is launched.
Launch Angle: Angle above the horizontal in degrees. 45° gives maximum range on flat ground.
Initial Height: Height above ground level at launch. Set to 0 for ground-level launches.

Identify Input Parameters
Initial Velocity = 20, Launch Angle = 45, Initial Height = 0 = 3 input(s) provided
Calculate Horizontal Range
Horizontal Range
40.77 = 40.77
Calculate Maximum Height
Maximum Height
10.19 = 10.19
Calculate Total Flight Time
Total Flight Time
2.883 = 2.883
Calculate Time to Max Height
Time to Max Height
1.442 = 1.442
Calculate Impact Speed
Impact Speed
20 = 20