Calculating Initial Speed of a Projectile Using Gravity, Height, and Range

In summary, the group discussed finding the initial speed (Vo) in projectile motion in terms of gravity (g) and height (H) and found a formula that was the closest approximation. They also searched online for solutions but were not successful. After three hours of calculations, they were able to find the final answer.
  • #1
nobodyuknow
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Homework Statement



Find the initial speed (Vo) in Projectile motion in terms of
Gravity (g)
Height (H)
Range (R)

Homework Equations



Nothing has been given, however, have found these so far...

Initial Velocity = sqrt((1/2 * g * R^2)/(cos2θ * (R * tanθ + H))

And a few others which are irrelevant.

The Attempt at a Solution



My friends and I are all collaborating and the above formula is the closest thing we've come up with.
We've also resorted to looking up on Google and Yahoo answers without much luck. Similar questions have aroused on Physics Forums, but not quite what we're after.
Thanks :)
 
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  • #2
After literally, 3 hours of arithmetic. We got the final answer.
 
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  • #3
Hey,
Your answer is perfect :-)
 

FAQ: Calculating Initial Speed of a Projectile Using Gravity, Height, and Range

What is the definition of "initial speed of a projectile"?

The initial speed of a projectile is the speed at which the projectile is launched or released.

How is the initial speed of a projectile calculated?

The initial speed of a projectile can be calculated by dividing the distance traveled by the time taken to travel that distance.

What factors affect the initial speed of a projectile?

The initial speed of a projectile can be affected by factors such as the angle of launch, air resistance, and the mass of the projectile.

Why is the initial speed of a projectile important to know?

The initial speed of a projectile is important because it determines the trajectory and range of the projectile and can also impact its accuracy and effectiveness.

How does the initial speed of a projectile change over time?

The initial speed of a projectile decreases over time due to the effects of gravity and air resistance.

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