Created By : Vaibhavi Kumari

Reviewed By : Phani Ponnapalli

Last Updated : May 07, 2023

With this time of flight calculator developed by us, the user can easily calculate the time for which the object under projectile motions remains in the air. The questions related to this can be easily solved under this special case of projectile motion, all that the user needs to enter is the initial velocity, angle, and height.

Velocity:
Angle of launch:
Initial height:
Time of flight:

Definition of Time of Flight in Projectile Motion

Whenever we throw an object nearer to the earth surface the object would move towards the earth surface along a curved path with constant acceleration. That curved path is known as projectile and its motion is called projectile motion. The time for which the object remains in the air is known as the time of flight.

Time of Flight Projectile Motion Formula

Alpha is the value of the angle between the ground and the projectile and ‘g’ stands for gravitational acceleration under free fall and ‘v’ stands for the velocity of the object thrown. The time of flight has the following equations which are broadly classified in two cases

• Launching the projectile from the ground (the relative initial height from ground is 0): t = 2 * V₀ * sin(α) / g. Here the air resistance is neglected.
• Launching projectile from some height (so initial height > 0): In the case where the projectile is thrown from some elevation of the height ‘h’, the formula is a bit more complicated and is given as follows t = [V₀ * sin(α) + √((V₀ * sin(α))² + 2 * g * h)] / g

How to find Time of Flight Projectile Motion?

Follow the simple and easy steps listed below to determine the time of flight in projectile motion. They are along the lines

• First and foremost step is to determine the values of initial height, velocity, and angle of the launch of a projectile from the question.
• Later determine the sin of the angle of launch value.
• In case of initial height being zero, multiply the double velocity by the sin of angle of launch value.
• Divide the product by acceleration due to gravity so as to get the time of flight in the air.
• If the initial height is above zero, multiply velocity and value from step 2.
• Square the value from earlier step value and add it to the product from step 6.
• Divide the result by g to obtain the time of flight in projectile motion.

How does the Time of Flight Projectile Motion Calculator work?

• First, decide which formula to use in the question that you want to solve. For example, if the projectile is launched from a certain height when the relative initial height of the projectile is not zero, or the relative height of the projectile is zero.
• Enter the values of Alpha that is the value of the angle between the ground and the projectile and ‘g’ is the gravitational acceleration under free fall and ‘v’ that is the velocity of the object thrown.
• The results section shows you the estimated elapsed time over the projectile once you enter all the values and proceed.

FAQs on Time of Flight for a Projectile Motion

1. How do you calculate time of flight in projectile motion?

To calculate the time of flight of equation, we should split the formulas into two cases: (initial height = 0) and hence t = 2 * V₀ * sin(α) / g and (initial height > 0) then t = [V₀ * sin(α) + √((V₀ * sin(α))² + 2 * g * h)] / g.

2. What is the time of projectile of flight?

The time of flight of projectile motion is defined as the time from when the object is projected to the time it reaches the surface under any external force that acts on it.

3. What is ascent time?

Time of ascent is the time taken by the body to reach the maximum height from the initial position under any external force that acts on it.

4. What is descent time?

This coefficient is known as the coefficient of thermal expansion, and it is used to forecast how materials will increase in response to a change in temperature. The higher a material's coefficient of thermal expansion is, the more it will expand when heated.

5. What is the range of projectile motion?

The horizontal distance of the projectile covered in a particular time is called the range of the projectile.