Time of Flight of Projectile on Horizontal Plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]
tpr = (2*vpm*sin(αpr))/[g]
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Time Interval - (Measured in Second) - Time interval is what a clock reads, it is a scalar quantity.
Initial Velocity of Projectile Motion - (Measured in Meter per Second) - Initial Velocity of Projectile Motion is the velocity at which motion starts.
Angle of Projection - (Measured in Radian) - Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.
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
Angle of Projection: 44.99 Degree --> 0.785223630472101 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tpr = (2*vpm*sin(αpr))/[g] --> (2*30.01*sin(0.785223630472101))/[g]
Evaluating ... ...
tpr = 4.32697619342754
STEP 3: Convert Result to Output's Unit
4.32697619342754 Second --> No Conversion Required
FINAL ANSWER
4.32697619342754 4.326976 Second <-- Time Interval
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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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

Time of Flight of Projectile on Horizontal Plane Formula

Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]
tpr = (2*vpm*sin(αpr))/[g]

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 Time of Flight of Projectile on Horizontal Plane?

Time of Flight of Projectile on Horizontal Plane calculator uses Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g] to calculate the Time Interval, The Time of flight of projectile on horizontal plane formula is defined as the ratio of two times of product of initial velocity of particle and sine of angle of projection to the acceleration due to gravity. Time Interval is denoted by tpr symbol.

How to calculate Time of Flight of Projectile on Horizontal Plane using this online calculator? To use this online calculator for Time of Flight of Projectile on Horizontal Plane, enter Initial Velocity of Projectile Motion (vpm) & Angle of Projection pr) and hit the calculate button. Here is how the Time of Flight of Projectile on Horizontal Plane calculation can be explained with given input values -> 4.327732 = (2*30.01*sin(0.785223630472101))/[g].

FAQ

What is Time of Flight of Projectile on Horizontal Plane?
The Time of flight of projectile on horizontal plane formula is defined as the ratio of two times of product of initial velocity of particle and sine of angle of projection to the acceleration due to gravity and is represented as tpr = (2*vpm*sin(αpr))/[g] or Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]. Initial Velocity of Projectile Motion is the velocity at which motion starts & Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.
How to calculate Time of Flight of Projectile on Horizontal Plane?
The Time of flight of projectile on horizontal plane formula is defined as the ratio of two times of product of initial velocity of particle and sine of angle of projection to the acceleration due to gravity is calculated using Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]. To calculate Time of Flight of Projectile on Horizontal Plane, you need Initial Velocity of Projectile Motion (vpm) & Angle of Projection pr). With our tool, you need to enter the respective value for Initial Velocity of Projectile Motion & Angle of Projection 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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