1. If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F. a. What is the velocity of the stone after 3 s? b. What is the velocity of the stone if it has risen by 25 m?
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.
![B. Answer the following problems. Show your complete solutions.
1. If a stone is thrown vertically upward from the surface of the moon with a velocity
of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F.
a. What is the velocity of the stone after 3 s?
b. What is the velocity of the stone if it has risen by 25 m?
2. A spherical balloon is being inflated. Find the rate of increase if the surface area
(S = 4tr²) with respect to the radius r are the following:
a. 0.3 m
b. 0.61 m
C. 0.91 m
Differentiation and Integration](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6904ba70-4e94-4f8a-8ada-c1aff101d423%2F8dc8d9bd-8700-437a-be5b-9b9edc9e797e%2F0niyez8_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
![Physics for Scientists and Engineers, Technology …](https://www.bartleby.com/isbn_cover_images/9781305116399/9781305116399_smallCoverImage.gif)
![An Introduction to Physical Science](https://www.bartleby.com/isbn_cover_images/9781305079137/9781305079137_smallCoverImage.gif)