Will someone please help me with these Physics questions

Question

Reading the data provided, does this object move at a constant rate? 

a. Yes, because the best fit line matches a linear relationship.

b. No, because the dots are not all on the line.

c. Yes, the best fit line is exponent.

d. No, because the best fit line should be quadratic.

Use the following pictures to help you match the picture of the graph of motion with the current occurrence. 

 

A student has a red Pasco smart cart that graphs data of the motion of the cart on their computer. They are trying different motions to explore how motion is graphed in 1 dimension. Here is their first attempt. 

 

Occurence #1

The student starts at the origin and moves away at a steady pace. Then, they pause the cart for a few moments and return the cart back to the origin. 

 

Graph #1

Graph #2

Graph #3

Graph #4

a. Graph #2

b. Graph #1

c. Graph #3

d. Graph #4

Answer 1

Here are some facts about position vs. time graphs that should help you:

1. The y-axis is measuring distance from a certain spot -- positive is the distance in one direction, while negative would be backwards. We're kinda pretending the world is only 1-dimensional like that for these types of graphs.
2. Any time the y-axis says 0, the object is back at the starting point.
3. Any time the graph is perfectly horizontal (keeping the same y-value for some time), that means the object is not moving.
4. If a line is straight, the speed is constant.
5. If a line is curved, the speed is changing.
6. The steeper the slope of the line (closest to vertical), the faster the object is moving.

Hope this helps you with your questions.