Initial Velocity of Particle given Time of Flight of Projectile Calculator

✖Time interval is what a clock reads, it is a scalar quantity.ⓘ Time Interval [t_pr]			+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%

✖Initial Velocity of Projectile Motion is the velocity at which motion starts.ⓘ Initial Velocity of Particle given Time of Flight of Projectile [v_pm]

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Initial Velocity of Particle given Time of Flight of Projectile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Velocity of Projectile Motion = ([g]*Time Interval)/(2*sin(Angle of Projection))
v_pm = ([g]*t_pr)/(2*sin(α_pr))
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

Initial Velocity of Projectile Motion - (Measured in Meter per Second) - Initial Velocity of Projectile Motion is the velocity at which motion starts.
Time Interval - (Measured in Second) - Time interval is what a clock reads, it is a scalar quantity.
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

Time Interval: 4.25 Second --> 4.25 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

v_pm = ([g]*t_pr)/(2*sin(α_pr)) --> ([g]*4.25)/(2*sin(0.785223630472101))

Evaluating ... ...

v_pm = 29.4761270454251

STEP 3: Convert Result to Output's Unit

29.4761270454251 Meter per Second --> No Conversion Required

FINAL ANSWER

29.4761270454251 ≈ 29.47613 Meter per Second <-- Initial Velocity of Projectile Motion

(Calculation completed in 00.004 seconds)

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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)

Initial Velocity of Particle given Time of Flight of Projectile Formula

LaTeX Go

Initial Velocity of Projectile Motion = ([g]*Time Interval)/(2*sin(Angle of Projection))
v_pm = ([g]*t_pr)/(2*sin(α_pr))

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 Initial Velocity of Particle given Time of Flight of Projectile?

Initial Velocity of Particle given Time of Flight of Projectile calculator uses Initial Velocity of Projectile Motion = ([g]*Time Interval)/(2*sin(Angle of Projection)) to calculate the Initial Velocity of Projectile Motion, Initial Velocity of Particle given Time of Flight of Projectile formula is defined as the velocity at which a particle is projected from the ground, calculated by considering the time of flight, acceleration due to gravity, and the angle of projection, providing a crucial parameter in understanding projectile motion. Initial Velocity of Projectile Motion is denoted by v_pm symbol.

How to calculate Initial Velocity of Particle given Time of Flight of Projectile using this online calculator? To use this online calculator for Initial Velocity of Particle given Time of Flight of Projectile, enter Time Interval (t_pr) & Angle of Projection (α_pr) and hit the calculate button. Here is how the Initial Velocity of Particle given Time of Flight of Projectile calculation can be explained with given input values -> 29.47098 = ([g]*4.25)/(2*sin(0.785223630472101)).

FAQ

What is Initial Velocity of Particle given Time of Flight of Projectile?

Initial Velocity of Particle given Time of Flight of Projectile formula is defined as the velocity at which a particle is projected from the ground, calculated by considering the time of flight, acceleration due to gravity, and the angle of projection, providing a crucial parameter in understanding projectile motion and is represented as v_pm = ([g]*t_pr)/(2*sin(α_pr)) or Initial Velocity of Projectile Motion = ([g]*Time Interval)/(2*sin(Angle of Projection)). Time interval is what a clock reads, it is a scalar quantity & Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.

How to calculate Initial Velocity of Particle given Time of Flight of Projectile?

Initial Velocity of Particle given Time of Flight of Projectile formula is defined as the velocity at which a particle is projected from the ground, calculated by considering the time of flight, acceleration due to gravity, and the angle of projection, providing a crucial parameter in understanding projectile motion is calculated using Initial Velocity of Projectile Motion = ([g]*Time Interval)/(2*sin(Angle of Projection)). To calculate Initial Velocity of Particle given Time of Flight of Projectile, you need Time Interval (t_pr) & Angle of Projection (α_pr). With our tool, you need to enter the respective value for Time Interval & Angle of Projection and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Initial Velocity of Projectile Motion?

In this formula, Initial Velocity of Projectile Motion uses Time Interval & Angle of Projection. We can use 3 other way(s) to calculate the same, which is/are as follows -

Initial Velocity of Projectile Motion = Horizontal Component of Velocity/cos(Angle of Projection)
Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection)
Initial Velocity of Projectile Motion = sqrt(Maximum Horizontal Range*[g])

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