How Far Will Your Slush Ball Travel?

[junkigal]

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!

 

[denverdoc]

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.

 

[kerimek]

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.