Two Dimensional Motion (4 of 4) Horizontal Projection, Worked Example

TL;DR

Determine the distance an object travels in the X direction when projected with an initial velocity in the X direction of 37 m/s from a height of 45 m.

Transcript

okay in today's video I'm going to go over a problem involving two-dimensional projectile motion and in this video we want to determine how far an object moves in the X Direction when it is projected from an initial height of 45 M with an initial velocity in the X direction that is in the horizontal direction of uh has initial velocity of 37 m/s an... Read More

Key Insights

• 🇾🇪 Object moves independently in the X and Y directions.
• ☺️ No forces act on the object in the X direction, resulting in zero acceleration.
• 🥶 Gravity is the only force acting on the object in the Y direction, causing it to experience free fall.
• ⌛ The time in the X and Y directions is the same.
• ☺️ The initial velocity in the X direction is 37 m/s.
• 🇾🇪 The acceleration in the Y direction is -9.81 m/s^2.
• 🧘 The change in position in the Y direction is -45 m.

Questions & Answers

Q: What is the initial velocity of the object in the X direction?

The initial velocity of the object in the X direction is 37 m/s.

Q: What is the acceleration in the Y direction?

The acceleration in the Y direction is equal to the acceleration due to gravity on Earth, which is -9.81 m/s^2.

Q: How can we find the time in the X direction?

We can solve for the change in time in the Y direction using the equation for change in position, and since the time in the X and Y directions is the same, we can use that as the time in the X direction.

Q: What is the final velocity of the object in the X direction?

Since there is no acceleration in the X direction, the final velocity is also 37 m/s.

Summary & Key Takeaways

• Object moves independently in the X and Y directions.

• No forces act on the object in the X direction, resulting in zero acceleration.

• Gravity is the only force acting on the object in the Y direction, causing it to experience free fall.