Velocity of Projectile at given Height above Point of Projection Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height)
vp = sqrt(vpm^2-2*[g]*h)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity of Projectile - (Measured in Meter per Second) - Velocity of Projectile refers to its speed and direction of motion at any given instant.
Initial Velocity of Projectile Motion - (Measured in Meter per Second) - Initial Velocity of Projectile Motion is the velocity at which motion starts.
Height - (Measured in Meter) - Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
STEP 1: Convert Input(s) to Base Unit
Initial Velocity of Projectile Motion: 30.01 Meter per Second --> 30.01 Meter per Second No Conversion Required
Height: 11.5 Meter --> 11.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vp = sqrt(vpm^2-2*[g]*h) --> sqrt(30.01^2-2*[g]*11.5)
Evaluating ... ...
vp = 25.9816694998609
STEP 3: Convert Result to Output's Unit
25.9816694998609 Meter per Second --> No Conversion Required
FINAL ANSWER
25.9816694998609 25.98167 Meter per Second <-- Velocity of Projectile
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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14 Projectile Motion Calculators

Direction of Projectile at given Height above Point of Projection
Go Direction of Motion of a Particle = atan((sqrt((Initial Velocity of Projectile Motion^2*(sin(Angle of Projection))^2)-2*[g]*Height))/(Initial Velocity of Projectile Motion*cos(Angle of Projection)))
Maximum Height of Projectile on Horizontal Plane
Go Maximum Height = (Initial Velocity of Projectile Motion^2*sin(Angle of Projection)^2)/(2*[g])
Horizontal Range of Projectile
Go Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]
Initial Velocity of Particle given Time of Flight of Projectile
Go Initial Velocity of Projectile Motion = ([g]*Time Interval)/(2*sin(Angle of Projection))
Time of Flight of Projectile on Horizontal Plane
Go Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]
Velocity of Projectile at given Height above Point of Projection
Go Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height)
Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle
Go Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection)
Initial Velocity of Particle given Horizontal Component of Velocity
Go Initial Velocity of Projectile Motion = Horizontal Component of Velocity/cos(Angle of Projection)
Vertical Component of Velocity of Particle Projected Upwards from Point at Angle
Go Vertical Component of Velocity = Initial Velocity of Projectile Motion*sin(Angle of Projection)
Initial Velocity of Particle given Vertical Component of Velocity
Go Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection)
Initial Velocity given Maximum Horizontal Range of Projectile
Go Initial Velocity of Projectile Motion = sqrt(Maximum Horizontal Range*[g])
Horizontal Range of Projectile given Horizontal Velocity and Time of Flight
Go Horizontal Range = Horizontal Component of Velocity*Time Interval
Maximum Horizontal Range of Projectile
Go Horizontal Range = Initial Velocity of Projectile Motion^2/[g]
Maximum Height of Projectile on Horizontal Plane given Average Vertical Velocity
Go Maximum Height = Average Vertical Velocity*Time Interval

Velocity of Projectile at given Height above Point of Projection Formula

Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height)
vp = sqrt(vpm^2-2*[g]*h)

What is projectile motion?

When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration that is directed towards the center of the earth (we assume that the particle remains close to the surface of the earth). The path of such a particle is called a projectile and the motion is called projectile motion.

How to Calculate Velocity of Projectile at given Height above Point of Projection?

Velocity of Projectile at given Height above Point of Projection calculator uses Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height) to calculate the Velocity of Projectile, The Velocity of projectile at given height above point of projection formula is defined as the square root of difference of square of initial velocity and two times the product of acceleration due to gravity, height reached by particle. Velocity of Projectile is denoted by vp symbol.

How to calculate Velocity of Projectile at given Height above Point of Projection using this online calculator? To use this online calculator for Velocity of Projectile at given Height above Point of Projection, enter Initial Velocity of Projectile Motion (vpm) & Height (h) and hit the calculate button. Here is how the Velocity of Projectile at given Height above Point of Projection calculation can be explained with given input values -> 25.97012 = sqrt(30.01^2-2*[g]*11.5).

FAQ

What is Velocity of Projectile at given Height above Point of Projection?
The Velocity of projectile at given height above point of projection formula is defined as the square root of difference of square of initial velocity and two times the product of acceleration due to gravity, height reached by particle and is represented as vp = sqrt(vpm^2-2*[g]*h) or Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height). Initial Velocity of Projectile Motion is the velocity at which motion starts & Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
How to calculate Velocity of Projectile at given Height above Point of Projection?
The Velocity of projectile at given height above point of projection formula is defined as the square root of difference of square of initial velocity and two times the product of acceleration due to gravity, height reached by particle is calculated using Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height). To calculate Velocity of Projectile at given Height above Point of Projection, you need Initial Velocity of Projectile Motion (vpm) & Height (h). With our tool, you need to enter the respective value for Initial Velocity of Projectile Motion & Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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