Projectile ball velocity physics problem

In summary, the problem involves throwing a snowball from a certain distance away from a building with a telephone line 20 m off the ground and 5 m in front of it. The goal is to throw the snowball with an initial velocity so that it just reaches the roof of the building, passing over the telephone line. Relevant equations include F=ma, a=dv/dt, v=dx/dt, and g=9.81m/s^2. The solution would require two equations for the system, taking into account distances, gravity, and initial velocity in both the x and y directions.
  • #1
Tiger15
1
0

Homework Statement


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You see a 10m tall building nearby and you want to throw a snowball up and onto its roof. You notice a telepone line running accoss the possible path of your snowball; the telephone line is 20 m off the ground and is 5 m in front of the building (measured horizontally). You decide to throw the snowball so that is just goes over the telepohne line and just reaches the roof of the building. HOW FAR from the building should you stand and with what initial velocity should you throw the ball?


Homework Equations





The Attempt at a Solution

 
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  • #2


Welcome to PF. You should remember also to explain what equations you think are relevant and what you have done so far to find a solution. It is customary not to provide help unless people show that they have already made an effort to solve their homework and it also makes it easier to provide you with a small push in the right direction if we know where you are stuck.
 
  • #3


2: Relevant equations:

1)F=m*a
2)a = dv/dt
3)v = dx/dt
g=9.81m/s^2

3:
you need two equations(x,y) for your system that considers: distances(x,y), gravity and intial speed(x,y)

gravity only acts in Y
nothing acts in X (assuming drag is neglected)
 

FAQ: Projectile ball velocity physics problem

1. What is projectile motion?

Projectile motion is the motion of an object through the air that is affected only by the force of gravity. It follows a curved path called a parabola.

2. How is velocity calculated in a projectile motion problem?

Velocity in a projectile motion problem is calculated using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity (usually -9.8 m/s^2), and t is the time.

3. What factors affect the velocity of a projectile?

The velocity of a projectile is affected by the initial speed, angle of launch, air resistance, and the force of gravity.

4. How do you determine the maximum height of a projectile?

The maximum height of a projectile can be determined using the equation h = (u^2*sin^2(theta))/(2g), where h is the maximum height, u is the initial velocity, theta is the angle of launch, and g is the acceleration due to gravity.

5. How can you use projectile motion equations to solve real-world problems?

Projectile motion equations can be used to solve real-world problems such as calculating the trajectory of a rocket, determining the optimal angle for a basketball shot, or predicting the landing point of a golf ball.

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