You're 6.00 m from one wall of a house. You want to toss a ball to your friend who is 6.00 m 45° from the opposite wall. The throw and catch 3.0 m both occur at 1.00 m above the ground. 田 ]1.0 m a. What is Vyo if it just barely clears the 6.0 m 6.0 m 6.0 m roof? b. How long is it in the air when it just clears the roof? c. What minimum launch speed that will allow the ball to clear the roof? d. At what angle should you toss the ball?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![**Projectile Motion Over a House**
You’re 6.0 m from one wall of a house. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch both occur at 1.0 m above the ground.
**Diagram Explanation:**
The diagram illustrates a projectile motion scenario where a ball is thrown over a house. The key features include:
- Two people on opposite sides of a house.
- Each person is standing 6.0 m away from the house's walls, totaling a horizontal distance of 12.0 m.
- The apex of the ball’s trajectory is shown at the roof's highest point, which is 3.0 m above the ground.
- The angle of the roof is marked at 45°.
**Questions:**
a. **What is Vy0 if it just barely clears the roof?**
b. **How long is it in the air when it just clears the roof?**
c. **What minimum launch speed will allow the ball to clear the roof?**
d. **At what angle should you toss the ball?**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8eaf686-6309-4626-be71-b17bad206d87%2F9707bb37-d790-4722-acff-3d53f1e0d591%2Fbdx9qvp_processed.png&w=3840&q=75)
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