It looks like you're trying to solve a problem involving
distance-time graphs (also called position-time graphs), based on the description in your image. However, I can't view or access the actual image you uploaded. But from the text visible in your message, I can help you interpret and solve the problem.
Here’s what appears to be the task:
> Draw distance-time graphs corresponding to the following descriptions of the motion of an object:
1. The object is moving away from the origin at a constant (steady) speed.
2. The object is standing still.
3. The object moves toward the origin at a steady speed for 10s, then stands still for 10s.
4. The object moves away from the origin at a steady speed for 10s, reverses direction, and moves back toward the origin at the same speed.
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Let's go through each one and describe how to draw the graph.
We'll use:
-
X-axis: Time (in seconds)
-
Y-axis: Distance from origin (in meters)
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1. Moving away from the origin at a constant speed
- The object starts at the origin (distance = 0).
- It moves away at a constant speed → distance increases steadily over time.
- This is a
straight line with a positive slope starting from the origin.
✔ Graph: A straight diagonal line going upward from (0,0).
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2. Standing still
- The object does not move → distance remains constant (zero or some fixed value).
- If it starts at the origin, distance stays at 0.
- This is a
horizontal line along the x-axis.
✔ Graph: A flat horizontal line at distance = 0 (or any constant distance if not at origin).
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3. Moves toward the origin at steady speed for 10s, then stands still for 10s
Let’s assume the object starts at some distance (say, 20 m) from the origin.
- For first 10 seconds: moves toward origin at constant speed → distance decreases linearly.
- Then stops (stands still) → distance remains constant for next 10 seconds.
✔ Graph:
- From t = 0 to t = 10: straight line sloping downward (negative slope).
- From t = 10 to t = 20: horizontal line (flat).
Example:
- Starts at (0, 20)
- Ends at (10, 0)
- Then flat from (10, 0) to (20, 0)
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4. Moves away from origin at steady speed for 10s, then reverses direction and returns at same speed
Assume it starts at origin.
- First 10s: moves away → distance increases linearly.
- Then reverses and comes back at same speed → distance decreases linearly back to origin.
✔ Graph:
- From t = 0 to t = 10: upward-sloping straight line (e.g., from (0,0) to (10, 20)).
- From t = 10 to t = 20: downward-sloping straight line (from (10, 20) to (20, 0)).
This forms a
V-shape, symmetric if speed is constant both ways.
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Summary of Graph Shapes:
| Description | Graph Shape |
|-----------|-------------|
| 1. Moving away at constant speed | Upward diagonal line |
| 2. Standing still | Horizontal line |
| 3. Toward origin, then stop | Downward line, then flat |
| 4. Away, then back at same speed | V-shaped (up then down) |
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If you'd like, I can generate ASCII versions of these graphs or guide you step-by-step on how to sketch them on paper. Let me know!
Parent Tip: Review the logic above to help your child master the concept of velocity time graphs worksheet.
