Time of Flight of Projectile on Horizontal Plane Calculator

✖Initial Velocity of Projectile Motion is the velocity at which motion starts.ⓘ Initial Velocity of Projectile Motion [v_pm]			+10% -10%
✖Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.ⓘ Angle of Projection [α_pr]			+10% -10%

✖Time interval is what a clock reads, it is a scalar quantity.ⓘ Time of Flight of Projectile on Horizontal Plane [t_pr]

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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]
t_pr = (2*v_pm*sin(α_pr))/[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

t_pr = (2*v_pm*sin(α_pr))/[g] --> (2*30.01*sin(0.785223630472101))/[g]

Evaluating ... ...

t_pr = 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 00.020 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< Projectile Motion Calculators

Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle

LaTeX Go Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection)

Initial Velocity of Particle given Horizontal Component of Velocity

LaTeX 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

LaTeX Go Vertical Component of Velocity = Initial Velocity of Projectile Motion*sin(Angle of Projection)

Initial Velocity of Particle given Vertical Component of Velocity

LaTeX Go Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection)

Time of Flight of Projectile on Horizontal Plane Formula

LaTeX Go

Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]
t_pr = (2*v_pm*sin(α_pr))/[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, Time of Flight of Projectile on Horizontal Plane formula is defined as the duration of time taken by an object to travel a certain distance when projected horizontally under the sole influence of gravity, considering the initial velocity and angle of projection. Time Interval is denoted by t_pr 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 (v_pm) & Angle of Projection (α_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?

Time of Flight of Projectile on Horizontal Plane formula is defined as the duration of time taken by an object to travel a certain distance when projected horizontally under the sole influence of gravity, considering the initial velocity and angle of projection and is represented as t_pr = (2*v_pm*sin(α_pr))/[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?

Time of Flight of Projectile on Horizontal Plane formula is defined as the duration of time taken by an object to travel a certain distance when projected horizontally under the sole influence of gravity, considering the initial velocity and angle of projection 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 (v_pm) & Angle of Projection (α_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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