Projectile Motion Equations Calculator

Science Physics Formulas


Solving for initial velocity.
Note: Valid only for equal initial and final elevation.
initial velocity

Inputs:

range (R)
acceleration of gravity (g)
projection angle (θ)


Conversions:

range (R)
= 0
= 0
meter
acceleration of gravity (g)
= 0
= 0
meter/second^2
projection angle (θ)
= 0
= 0
radian

Solution:

initial velocity (v0)
= NOT CALCULATED

Other Units:


Change Equation
Select to solve for a different unknown
vertical velocity
vertical velocity at timevertical velocity at time
initial vertical velocityinitial vertical velocity
acceleration of gravityacceleration of gravity
timetime
vertical displacement
vertical displacement at timevertical displacement at time
initial vertical velocityinitial vertical velocity
timetime - quadratic square root added
timetime - quadratic square root subtracted
acceleration of gravityacceleration of gravity
horizontal velocity
horizontal velocity at timehorizontal velocity at time
horizontal displacement
horizontal velocity at timehorizontal velocity at time
initial horizontal velocityinitial horizontal velocity
timetime
Range given projection angle and
equal initial and final elevations
rangerange
initial velocityinitial velocity
acceleration of gravityacceleration of gravity

References - Books:
Tipler, Paul A.. 1995. Physics For Scientists and Engineers. Worth Publishers. 3rd ed.
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