Launch velocity of the projectile

At maximum height, the vertical velocity is 0, so you can solve for v0. The horizontal velocity remains constant throughout the flight, so it is equal to the range divided by the time of flight. From there, you can find the launch velocity using vector addition.
  • #1
Awsom Guy
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Homework Statement


A projectile is launched in such a way as to have a time of flight of 41s and a range of 11 750m.
Calculate:
a) the maximum height reached;
b) the launch velocity of the projectile.


Homework Equations


h=ut-1/2gt^2


The Attempt at a Solution


h=-1/2gt^2
-1/2 * 9.8 * 41^2

I don't get the answer.
 
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  • #2


You wrote h=ut-1/2gt^2 but used h=-1/2gt^2, even though u is not 0.
 
  • #3


Awsom Guy said:

Homework Statement


A projectile is launched in such a way as to have a time of flight of 41s and a range of 11 750m.
Calculate:
a) the maximum height reached;
b) the launch velocity of the projectile.

Homework Equations


h=ut-1/2gt^2

The Attempt at a Solution


h=-1/2gt^2
-1/2 * 9.8 * 41^2

I don't get the answer.
What is the formula for vertical velocity? What is it at maximum height? That will give you the initial vertical velocity. From that, you can use your formula to find maximum height (Hint: what is t at maximum height?).

What is the horizontal velocity?

You can then find the launch velocity (direction and speed) from the horizontal and vertical velocity.

AM
 

FAQ: Launch velocity of the projectile

What is the definition of launch velocity of a projectile?

The launch velocity of a projectile is the initial speed at which an object is projected or thrown. It is the speed at which the projectile leaves the surface from which it was launched.

How is the launch velocity of a projectile calculated?

The launch velocity of a projectile is calculated by dividing the distance traveled by the time it took to travel that distance. This is also known as the average velocity formula, where velocity equals distance divided by time.

What factors affect the launch velocity of a projectile?

The launch velocity of a projectile can be affected by various factors including the angle of launch, the mass of the projectile, the force applied, and air resistance. These factors can impact the speed and trajectory of the projectile.

Why is the launch velocity of a projectile important in physics?

The launch velocity of a projectile is important in physics because it is a key component in understanding the motion and behavior of objects in motion. It helps determine the range, height, and flight path of a projectile and is crucial in many real-world applications, such as ballistics and sports.

How does the launch velocity of a projectile change in different environments?

The launch velocity of a projectile can be affected by the environment it is launched in. In a vacuum, the velocity would remain constant, but in the presence of air resistance, the velocity would decrease over time. Additionally, factors such as altitude and wind can also affect the launch velocity of a projectile in different environments.

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