1) If the ball is dropped form rest at a height h = 5.2 ft, what is its speed right before it strikes the plane at A? Your answer must include 2 places after the decimal point. Take g = 32.2 ft/s². T h B
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.
![For this series of 4 questions, a 1-lb ball is dropped from rest and falls a distance before striking the smooth plane at point A. It bounces from the plane and then strikes it again. You will be asked to solve for different aspects; please note that the numbers may change from problem to problem as they are randomized.
1) If the ball is dropped from rest at a height \( h = 5.2 \, \text{ft} \), what is its speed right before it strikes the plane at point A? Your answer must be precise to two decimal places. The gravitational acceleration \( g \) is given as \( 32.2 \, \text{ft/s}^2 \).
*Diagram Explanation:*
The diagram illustrates the path of a ball dropped from a height \( h \) as it falls and bounces off a smooth plane. The initial drop point is marked, and the path arcs down to point A on the inclined plane. The plane continues to point B at the bottom right, where further action may occur. The diagram includes mathematical notations with angles and distances, indicating potential areas for calculations.
Your Answer:
| Answer | units |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73e7c7d8-a37c-4d1e-af6f-0c5c8d6d1088%2Fc5bbfc18-9401-42cf-9abc-8707ba2148ef%2Frj92jh_processed.jpeg&w=3840&q=75)
![2) If the ball is dropped from rest at a height \( h = 7.0 \) ft, and the coefficient of restitution between the ball and the plane is \( e = 0.1 \), what is its speed right after it strikes the plane at A? (*Hint: when striking the wall/ground, the line of impact is always normal to the surface, and the wall/ground always has a speed of zero.*) Your answer must include 2 places after the decimal point. Take \( g = 32.2 \) ft/s\(^2\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73e7c7d8-a37c-4d1e-af6f-0c5c8d6d1088%2Fc5bbfc18-9401-42cf-9abc-8707ba2148ef%2Ftxufd5b_processed.jpeg&w=3840&q=75)
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