Solve Kinematics in 2D: Rocket Clears 11m Wall

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In summary, a rocket fired at a speed of 75m/s and an angle of 60 degrees above the horizontal towards an 11-m-high wall located 27m away will clear the top of the wall by the difference between its final vertical position and the height of the wall. This can be calculated using the equations for final velocity and displacement in relation to time. The final vertical position can be found by subtracting the height of the wall from the rocket's position at 27m away.
  • #1
Cheddar
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Homework Statement


A rocket is fired at a speed of 75m/s from ground level, at an angle of 60degrees above the horizontal. The rocket is fired toward an 11-m-high wall, which is located 27m away. By how much does the rocket clear the top of the wall?

Homework Equations


final velocity = initial velocity + (acceleration * time)
displacement = (initial velocity * time) + 1/2 * acceleration(gravity) * time(squared)


The Attempt at a Solution


So, I need to find the final position where the rocket will land and the time it takes to do so.
If final velocity = 0 then I think I can go from there. I just don't know if that would be right.
 
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  • #2
I think you'd need to find how high the rocket is at 27m away. Then if that is bigger than 11m, you would subtract 11 from the value you got.

so you need to find an equation relating vertical displacement (y) and horizontal displacement(x)
 
  • #3
Got it. Thank you.
 

FAQ: Solve Kinematics in 2D: Rocket Clears 11m Wall

What is Kinematics in 2D?

Kinematics in 2D is the branch of physics that studies the motion of objects in two-dimensional space. It involves analyzing the position, velocity, and acceleration of objects without considering the forces that cause their motion.

How do you solve Kinematics problems in 2D?

To solve Kinematics problems in 2D, you need to use equations that relate an object's position, velocity, and acceleration in both the x and y directions. These equations include the equations for displacement, velocity, and acceleration in the x and y directions, as well as the Pythagorean theorem to find the magnitude and direction of the object's motion.

What is a rocket clears 11m wall problem?

A rocket clears 11m wall problem is a specific type of Kinematics problem where a rocket is launched at an angle from the ground and has to clear a wall that is 11m high. The goal is to calculate the initial velocity and launch angle of the rocket in order to clear the wall.

What are the key steps to solving a rocket clears 11m wall problem?

The key steps to solving a rocket clears 11m wall problem are as follows:

  1. Break the problem down into x and y components.
  2. Use the given information to calculate the initial velocity in the x and y directions.
  3. Use the equations for displacement, velocity, and acceleration to solve for the time it takes the rocket to reach the wall.
  4. Use the Pythagorean theorem to find the magnitude of the initial velocity.
  5. Use inverse trigonometric functions to find the launch angle.

What are some common mistakes to avoid when solving a rocket clears 11m wall problem?

Some common mistakes to avoid when solving a rocket clears 11m wall problem are:

  • Not breaking the problem down into x and y components.
  • Using the wrong equations for displacement, velocity, and acceleration.
  • Forgetting to account for gravity in the y direction.
  • Miscalculating the time it takes for the rocket to reach the wall.
  • Forgetting to use inverse trigonometric functions to find the launch angle.

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