Projectile Motion Homework: Calculating Net Height for Daredevil Cannon Launch

In summary, the problem involves a daredevil being shot out of a cannon at a 45 degree angle with an initial speed of 25.0m/s. A net is positioned 50m away from the cannon, and the question asks for the height at which the net should be placed to catch the daredevil. The equation P=X/ViCos(theta) was attempted but did not work. The correct answer is 10.8m.
  • #1
ssalem2
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Homework Statement


A daredevil is shot out of a cannon at 45degrees horizontal with an initial speed of 25.0m/s. A net is positioned at a horizontal distance of 50m from the cannon from which it is shot. At what height above the cannon should the net be placed in order to catch the daredevil?


Homework Equations



P=X/ViCos(theta)


The Attempt at a Solution


i tried this equation but it did not work out. The answer is supposed to be 10.8m. Please explain it if you get this correct. Thank you!
 
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  • #2
try this equation y = F(x): = yo +xTAN[tex]\theta[/tex] - gx2/2Vo2COS2[tex]\theta[/tex]
 
  • #3
Complete Solution Removed
 
  • #4
unscientific, please check your PM's.
 

1. How does projectile motion work in the context of "daredevil" stunts?

Projectile motion refers to the motion of an object that is launched into the air and moves under the force of gravity. In daredevil stunts, this typically involves a person or object being propelled into the air and then coming back down to the ground. The path of the projectile is influenced by factors such as initial velocity, angle of launch, and air resistance.

2. How can the trajectory of a daredevil's jump or stunt be calculated?

Calculating the trajectory of a daredevil's jump or stunt involves using mathematical equations and principles of physics, such as Newton's laws of motion. Factors such as the angle of launch, initial velocity, and air resistance must be taken into account to accurately predict the path of the projectile. Advanced technologies such as motion capture and computer simulations may also be used to assist in these calculations.

3. What is the relationship between projectile motion and gravity in "daredevil" stunts?

Gravity plays a crucial role in the execution of "daredevil" stunts. As an object is launched into the air, it is pulled back down towards the ground by the force of gravity. The acceleration due to gravity remains constant throughout the entire flight of the projectile, which affects the shape and distance of the trajectory.

4. How does air resistance affect the trajectory of a daredevil's jump or stunt?

Air resistance, also known as drag, is the force that acts in the opposite direction of motion and can affect the trajectory of a daredevil's jump or stunt. As the object moves through the air, it experiences resistance which can slow it down and alter its path. The magnitude of air resistance is determined by factors such as the shape and size of the projectile, as well as the density and speed of the air it is moving through.

5. Can the principles of projectile motion be applied to all "daredevil" stunts?

While the principles of projectile motion can be applied to many "daredevil" stunts, there are some that may involve other factors and forces. For example, stunts that involve water may also take into account buoyancy and surface tension. Additionally, stunts that involve vehicles or machinery may also consider factors such as friction and engine power. However, in general, the concepts of projectile motion are relevant to many "daredevil" stunts.

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