Maximum Height: -
Flight Time: -
Time to Max Height: -
Initial Velocity: -
Flight Time: -
Time to Max Height: -
Initial Velocity: -
Maximum Height: -
Time to Max Height: -
Vertical Throw Calculator
This calculator determines the motion parameters of objects thrown vertically upward under the influence of gravity. Calculate initial velocity, maximum height, and flight time using fundamental physics equations for vertical motion. The calculator handles three calculation modes: finding maximum height from initial velocity, determining initial velocity from maximum height, and computing initial velocity from total flight time.
Physics Formulas
h = v02/(2g)
Maximum height from initial velocity
Maximum height from initial velocity
v0 = √(2gh)
Initial velocity from maximum height
Initial velocity from maximum height
t = 2v0/g
Total flight time
Total flight time
tmax = v0/g
Time to reach maximum height
Time to reach maximum height
Where: v0 = initial velocity, h = maximum height, t = flight time, g = gravitational acceleration (9.81 m/s2)
Supported Units
Velocity: m/s, km/h, ft/s, mph
Height: m, cm, dm, mm, km, ft, in, yd, mi
Time: seconds, minutes
Calculation Examples
Example 1:
Ball thrown at 20 m/s reaches maximum height of 20.39 meters with flight time of 4.08 seconds
Example 2:
Object reaching 50 feet height requires initial velocity of 56.66 ft/s
Example 3:
Projectile with 6-second flight time has initial velocity of 29.43 m/s and reaches 44.15 m height
Example 4:
Rocket launched at 72 km/h (20 m/s) achieves maximum altitude of 20.39 meters
Example 5:
Basketball reaching 3 meters height requires initial velocity of 7.67 m/s or 27.61 km/h
Example 6:
Object thrown at 45 mph (20.12 m/s) reaches maximum height of 20.63 meters
Example 7:
Projectile reaching 100 millimeters (0.1 m) height needs initial velocity of 1.4 m/s
Example 8:
Tennis ball with 2.5-minute flight time requires initial velocity of 736.25 m/s theoretically
Example 9:
Object thrown at 65.6 ft/s reaches maximum height of 21 meters in metric conversion
Example 10:
Projectile reaching 15 yards (13.72 m) height requires initial velocity of 16.4 m/s