Time of Flight of Projectile on Horizontal Plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time = (2*Initial Velocity*sin(Angle of Projection))/[g]
t = (2*u*sin(α))/[g]
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Time - (Measured in Second) - Time is what a clock reads, it is a scalar quantity.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity 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: 31 Meter per Second --> 31 Meter per Second No Conversion Required
Angle of Projection: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = (2*u*sin(α))/[g] --> (2*31*sin(0.785398163397301))/[g]
Evaluating ... ...
t = 4.47049914431121
STEP 3: Convert Result to Output's Unit
4.47049914431121 Second --> No Conversion Required
FINAL ANSWER
4.47049914431121 4.470499 Second <-- Time
(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^2*(sin(Angle of Projection))^2)-2*[g]*Height))/(Initial Velocity*cos(Angle of Projection)))
Maximum Height of Projectile on Horizontal Plane
Go Maximum Height = (Initial Velocity^2*sin(Angle of Projection)^2)/(2*[g])
Horizontal Range of Projectile
Go Horizontal Range = (Initial Velocity^2*sin(2*Angle of Projection))/[g]
Initial Velocity of Particle given Time of Flight of Projectile
Go Initial Velocity = ([g]*Time)/(2*sin(Angle of Projection))
Time of Flight of Projectile on Horizontal Plane
Go Time = (2*Initial Velocity*sin(Angle of Projection))/[g]
Velocity of Projectile at given Height above Point of Projection
Go Velocity = sqrt(Initial Velocity^2-2*[g]*Height)
Initial Velocity of Particle given Horizontal Component of Velocity
Go Initial Velocity = 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*sin(Angle of Projection)
Initial Velocity of Particle given Vertical Component of Velocity
Go Initial Velocity = Vertical Component of Velocity/sin(Angle of Projection)
Initial Velocity given Maximum Horizontal Range of Projectile
Go Initial Velocity = sqrt(Maximum Horizontal Range*[g])
Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle
Go Velocity = Initial Velocity*cos(Angle of Projection)
Horizontal Range of Projectile given Horizontal Velocity and Time of Flight
Go Horizontal Range = Horizontal Component of Velocity*Time
Maximum Height of Projectile on Horizontal Plane given Average Vertical Velocity
Go Maximum Height = Average Vertical Velocity*Time
Maximum Horizontal Range of Projectile
Go Horizontal Range = Initial Velocity^2/[g]

Time of Flight of Projectile on Horizontal Plane Formula

Time = (2*Initial Velocity*sin(Angle of Projection))/[g]
t = (2*u*sin(α))/[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 = (2*Initial Velocity*sin(Angle of Projection))/[g] to calculate the Time, 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 is denoted by t 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 (u) & Angle of Projection (α) 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 -> 4.470499 = (2*31*sin(0.785398163397301))/[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 t = (2*u*sin(α))/[g] or Time = (2*Initial Velocity*sin(Angle of Projection))/[g]. Initial Velocity 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 = (2*Initial Velocity*sin(Angle of Projection))/[g]. To calculate Time of Flight of Projectile on Horizontal Plane, you need Initial Velocity (u) & Angle of Projection (α). With our tool, you need to enter the respective value for Initial Velocity & 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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