Since I can't view or access uploaded images directly, I can’t see the specific details of your worksheet. However, based on the text you've provided, I’ll help you
solve and explain the problems step by step as if I could see the image.
Let’s go through each part of the worksheet carefully and solve it with reasoning.
---
Constant Velocity Model Worksheet 4: Velocity vs. Time Graphs and Displacement
---
####
1. This motion map shows the position of an object once every second. From the motion map, answer the following:
We are told that there's a motion map showing positions at 1-second intervals. Although I can’t see the actual diagram, let’s assume the motion map shows an object moving to the right (positive direction), with equal spacing between dots, indicating
constant velocity.
Let’s suppose the positions are:
- t = 0 s → x = 0 m
- t = 1 s → x = 2 m
- t = 2 s → x = 4 m
- t = 3 s → x = 6 m
- t = 4 s → x = 8 m
This is a typical constant velocity scenario.
---
#####
a. Describe the motion of the object.
Answer:
The object is moving in the positive direction (to the right) with
constant velocity. The distance between consecutive positions increases uniformly, indicating no acceleration.
---
#####
b. Represent the motion with a quantitative x vs. t graph.
We plot position (x) on the y-axis and time (t) on the x-axis.
| Time (s) | Position (m) |
|----------|--------------|
| 0 | 0 |
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
Plot these points and draw a straight line through them.
- The graph will be a straight line with slope = velocity = 2 m/s.
- Equation: $ x = 2t $
---
#####
c. Represent the motion with a quantitative v vs. t graph.
Since velocity is constant at 2 m/s:
- Draw a horizontal line at $ v = 2 \, \text{m/s} $ from $ t = 0 $ to $ t = 4 $ seconds.
- The graph is flat (no slope), indicating zero acceleration.
---
#####
d. Write a mathematical expression that represents the relationship between position and time.
From the data:
Parent Tip: Review the logic above to help your child master the concept of velocity time graph worksheet answers.
