How Far Will Your Slush Ball Travel?

In summary, the conversation was about launching a 2.1 kg slush ball from a snow fort at an angle of 35 degrees and a velocity of 15 m/s. The question was how far the snowball would travel before hitting the ground, assuming it was launched from a height of 1.6 m. The solution requires using equations that relate distance to acceleration, velocity, and time, as well as equations that relate vertical and horizontal velocities to the angle and velocity of the throw.
  • #1
junkigal
1
0
you are standing on top of your snow fort, defending yourself from a horde of evil attackers. if you hurl a 2.1 kg slush ball at an angle of 35 degrees from the horizontal, and a velocity of 15 m/s, how far will it travel before it hits the ground? assume you launch it from a height of 1.6 m above the ground..

its is so simple yet so complex for me!
 
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  • #2
there are few eqns which should be posted: one that relates distance to acceleration,velocity, and time. The others relate the vertical and horizontal velocities to the angle and the velocity at which the snowball is thrown.
 
  • #3


The relative height in this scenario can be found by using the equation for projectile motion, which takes into account the initial height, angle of launch, and velocity of the object. In this case, the relative height would be the maximum height that the slush ball reaches before it hits the ground.

To find the relative height, we can use the equation h = (v^2sin^2θ)/2g, where h is the maximum height, v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity (9.8 m/s^2).

Plugging in the given values, we get:

h = (15 m/s)^2(sin^2 35°)/2(9.8 m/s^2)

h = 5.6 m

This means that the slush ball will reach a maximum height of 5.6 meters before it falls back down to the ground. To find the distance it will travel before hitting the ground, we can use the equation d = (v^2sin2θ)/g, where d is the distance traveled.

Plugging in the given values, we get:

d = (15 m/s)^2(sin2 35°)/9.8 m/s^2

d = 30.1 m

Therefore, the slush ball will travel a distance of approximately 30.1 meters before it hits the ground. This information can help you defend your snow fort against the evil attackers by knowing how far your slush ball will go and aiming accordingly.
 

FAQ: How Far Will Your Slush Ball Travel?

1. How is the relative height measured?

The relative height is measured by comparing the height of an object to a known reference point or object. This can be done using a measuring tool such as a ruler or tape measure.

2. Can relative height be measured without a measuring tool?

Yes, relative height can be estimated without a measuring tool by using visual cues and comparing the height of the object to other objects or landmarks in the surrounding area.

3. What is the formula for finding relative height?

The formula for finding relative height is: relative height = height of object / height of reference point or object. This will give the ratio of the object's height to the reference point's height.

4. How do you find the reference point for measuring relative height?

The reference point for measuring relative height can be any known object or point that can be used as a comparison. This can be a building, tree, or even a person.

5. Are there any tools or technologies that can assist in finding relative height?

Yes, there are various tools and technologies that can assist in finding relative height. These include laser rangefinders, GPS devices, and smartphone apps that use augmented reality to measure height.

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