Projectile Motion: Clearing a Fence?

In summary, the problem asks if a ball with a velocity of 30 m/s and an angle of 30 degrees will clear a 2.5 m high fence 30 m away when launched from a height of 1.0 m above the ground. The ballistic path equation is used to solve this, with the delta y set to 1.5. After plugging in the given values, it is determined that the ball will clear the fence by 12.5 m. However, this result is questioned and further information is needed to determine the correct solution.
  • #1
Arooj
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Homework Statement


A ball is batted with a velocity of 30 m/s at an angle of 30 degrees above the horizontal from a height of 1.0 m above the ground. Will the ball clear a 2.5 m high fence which is 30 m away? By how much will it miss or clear?

Homework Equations


ballistic path equation? delta y = (-gx^2/(2v)^2*(cos @)^2) + xtan@
@ = angle

The Attempt at a Solution


I used the ballistic path equation, and set the delta y = 1.5. On the other side i plugged in the 30 for x, 30 degrees for @, and vi as 30m/s.

I got clear by 12.5m, but I don't think that is right.
How to do you do this problem?
 
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  • #2
Your result doesn't look right. You'll have to present more of your attempt so we can see how to help.
 

1. What is projectile motion?

Projectile motion is the motion of an object through the air or space under the influence of gravity. It follows a curved path, known as a parabola, due to the horizontal and vertical components of its velocity.

2. How does projectile motion apply to clearing a fence?

In the context of clearing a fence, projectile motion refers to the motion of an object, such as a ball or a person, as it travels over the fence. The object is launched with a certain initial velocity and angle, and its path is affected by gravity as it travels through the air.

3. What factors affect the trajectory of an object when clearing a fence?

The trajectory of an object when clearing a fence is affected by its initial velocity, angle of launch, and the force of gravity. Other factors such as air resistance and wind can also play a role.

4. How can we calculate the trajectory of an object clearing a fence?

The trajectory of an object clearing a fence can be calculated using the equations of motion, which take into account the initial velocity, angle of launch, and acceleration due to gravity. These equations can be solved to determine the object's position, velocity, and time at any point during its motion.

5. What are some real-world applications of projectile motion when clearing a fence?

Some real-world applications of projectile motion when clearing a fence include sports such as high jump and pole vaulting, where athletes use the principles of projectile motion to clear a bar at a certain height. It is also used in engineering and design, particularly in the construction of bridges and buildings with sloped roofs.

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