# Homework H1.A - Sp23

 Problem statement Solution video

Discussion

Consider the animation below of the motion for particle P:

• For all time, P moves with a positive x-component and a negative y-component of both velocity and acceleration. Why? Can you see this in the animation?
• As we will see in the next class period when we talk about the "path description" of kinematics, the velocity of a point is always tangent to the path of the point, and the acceleration always points "inward" on the path of the point. Do you see this in the animation?

The components of velocity and acceleration of P are found directly from the time derivatives of the position components:

vP = x_dot i + y_dot j
aP =
x_ddot i + y_ddot j

## 15 thoughts on “Homework H1.A - Sp23”

1. Chris Dalton says:

In the “given” section, if we’re doing our work digitally, can we use a screenshot of the diagram from the problem or do we have to redraw it? I know the information has to be written in our own words.

1. CMK says:

Yes, it is OK to use the screen shot of the diagram.

2. ahliu says:

Should the velocity and acceleration be written as vectors or as scalar magnitudes?

3. CMK says:

Yes, velocity and acceleration are always vectors. If we want the magnitude of the velocity vector, we will ask for speed, and if we want the magnitude of the acceleration vector, we will as for the magnitude.

4. Raymond Ginter Frazee says:

where can I find the template for the homework?

On the top banner, click Course material > Course Information > Homework format. It should take you to a PDF template of sorts.

2. Elijah Allan Collins says:

It is also in the syllabus that was emailed to us. Hope that helps!

Does this problem have a traditional or flipped coordinate system? That is, does pin P have a negative horizontal position since it lies to the left of the y-axis? I'm wondering this because the expression for the x position is always positive and it's stated that "P moves with a positive x-component", even though the picture and animation show the pin staying left of the y-axis. Usually, the right side of the y-axis has the positive x values.

1. William Grant Dierking says:

I took the x axis shown to be the positive axis even though it extends to the left because of the statement that you quoted, and the fact that I have used that "flipped coordinate system" in the past.

2. Zachary William Delahunty says:

I believe the position of the pin is not important because we only need to find the velocity and acceleration of the x and y-components.

6. Michael Alexander Barth says:

Should we have our answers as vectors or magnitudes?

1. Elijah Allan Collins says:

I believe it is vector notation.

2. Mason James Fellwock says:

The answers should be in vector notation but make sure to use the i-hat, j-hat, and k-hat notation instead of the notation.

7. Salma Alrowaie says:

In the animation, are the y-components negative due to the force of gravity?

1. CMK says:

The y-components of both velocity and acceleration are negative because both the first and second derivative of y(t) with respect to time are negative for t>0. Gravity is not an issue on problems involving strictly kinematics.