Projectile Motion (ignore previous thread)

In summary, the conversation is about finding the distance a ball will land from the base of a building when thrown horizontally from a height of 2500 m with a velocity of 8.0 m/s. The equations provided include Vx = ▲x/▲t, ▲X = V0 * ▲t, and Vfx^2 = Vix^2. The person also mentions needing to find the time the ball traveled and using the equation y = y0 + Vy0t - 1/2(gt^2) to solve for t. The final answer is 180.8 meters.
  • #1
38
0
Im trying to figure out this problem, but I am not sure if I have the equation(s) I need.

"A ball is thrown horizontally out the window of a building with a velocity of 8.0 m/s from a height of 2500 m. How far from the base of the building will the ball land?"

a) 54 m
b) 60 m
c) 90 m
d) 115 m
e) 180 m

The equations I have for the X value (distance in X) include the following:
Vx = ▲x/▲t
▲X = V0 * ▲t
Vfx^2 = Vix^2

Is this all I need to find the answer? Or am I missing some equation(s)?
 
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  • #2
You need to find the time the ball traveled. You can find it from the equation of displacement in the y-direction.
 
  • #3
ok. I found the equation y = y0 + Vy0t - 1/2(gt^2)

I solved for t, which came to be 22.6. Then I used x = x0 + Vx0t, which is 8 * 22.6, which comes out to 180.8.

Seems right...
 
  • #4
Yes, it does.
 

1. What is projectile motion?

Projectile motion is the motion of an object that is launched or thrown into the air and then moves under the force of gravity alone. It follows a curved path known as a parabola.

2. What factors affect projectile motion?

The factors that affect projectile motion include the initial velocity of the object, the angle at which it is launched, and the force of gravity. Air resistance can also have an impact on the motion of a projectile.

3. How is the range of a projectile calculated?

The range of a projectile is the horizontal distance it travels before it lands. It can be calculated using the formula range = (initial velocity)^2 x sin(2θ) / g, where θ is the launch angle and g is the acceleration due to gravity.

4. Can a projectile have an upward and downward displacement at the same time?

Yes, a projectile can have both upward and downward displacements at the same time. This occurs when the object is at the highest point of its trajectory, where it momentarily stops moving in the vertical direction before falling back down.

5. How is projectile motion used in real life?

Projectile motion has many practical applications, such as in sports like football, basketball, and baseball. It is also used in fields such as engineering and physics to calculate the trajectory of objects, such as projectiles launched from cannons or rockets.

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