A ball is thrown directly downward with an initial speed of 9.00 m/s, from a height of 30.3 m. After what time interval does it strike the ground?
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.
![### Physics Problem: Free Fall Motion
**Problem Statement:**
A ball is thrown directly downward with an initial speed of **9.00 m/s**, from a height of **30.3 m**. After what time interval does it strike the ground?
**Time Interval:**
\[\_\_\_\_\_\_\_\_\_ \text{s}\]
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#### Explanation:
In this problem, we are asked to determine the time it takes for a ball thrown downward from a certain height to hit the ground. The initial speed of the ball and the height from which it is thrown are provided.
This involves solving a kinematic equation under constant acceleration due to gravity:
\[
h = v_0 t + \frac{1}{2}gt^2
\]
Where:
- \( h \) is the height (30.3 m in this case)
- \( v_0 \) is the initial velocity (9.00 m/s downward)
- \( g \) is the acceleration due to gravity (approximately 9.8 m/s\(^2\))
- \( t \) is the time in seconds
Use this information to solve for \( t \), the time interval when the ball strikes the ground.
### Resources:
To understand this concept better, make use of the resources provided:
- **Read It:** [Link to the reading material]
- **Watch It:** [Link to the instructional video]
These resources will help clarify the steps involved in solving this type of physics problem and offer additional practice problems for further learning.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b165613-2027-4238-9c7e-a40fd74e53eb%2F1cd8b3dc-4bed-4f8f-936e-185863506d45%2Ftbjykp3.png&w=3840&q=75)
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