2-5 Worksheet Velocity-Time Graphs PDF | PDF | Velocity | Speed - Free Printable

Let's go through each of the four scenarios and sketch the corresponding velocity-time (v-t) graphs. In a velocity-time graph:

- The y-axis represents velocity (positive = moving away from origin, negative = moving toward origin).
- The x-axis represents time.
- A horizontal line means constant velocity.
- A line at zero means the object is at rest.

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1. The object is moving away from the origin at a constant (steady) speed.

- Since it's moving away from the origin, the velocity is positive.
- The speed is constant, so velocity does not change → horizontal line above the time axis.

✔ Graph:
Draw a horizontal straight line above the 0 on the velocity axis (positive velocity), extending across the time axis.

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2. The object is standing still.

- Standing still means zero velocity.
- So, velocity remains zero for all time.

✔ Graph:
Draw a horizontal line along the time axis (at velocity = 0).

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3. The object moves toward the origin at a steady speed for 10 s, then stands still for 10 s.

- Moving toward the origin → velocity is negative.
- Constant speed → constant negative velocity for first 10 seconds.
- Then, stands still → velocity becomes zero for next 10 seconds.

✔ Graph:
- From t = 0 to t = 10 s: draw a horizontal line below the time axis (negative velocity).
- From t = 10 s to t = 20 s: draw a horizontal line at zero.

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4. The object moves away from the origin at a steady speed for 10 s, reverses direction and moves back toward the origin at the same speed.

- First 10 seconds: moving away → positive constant velocity.
- Then reverses direction: now moving toward origin → negative constant velocity (same magnitude as before).
- Speed is the same, so the magnitude of velocity is the same, but sign changes.

✔ Graph:
- From t = 0 to t = 10 s: horizontal line above the time axis (positive velocity).
- From t = 10 s onward: horizontal line below the time axis (negative velocity), same distance from zero as the first segment.

> Note: The problem doesn't specify how long it moves back, but since it says "moves back at the same speed", we assume it continues for an equal or comparable duration — just show the reversal.

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✔ Summary of Graphs:

Here’s how you should sketch them:

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#### 1. Moving away at constant speed
```
Velocity
↑
| _______________
| |
| |
|_______|_________________→ Time
0
```

> Horizontal line above zero.

---

#### 2. Standing still
```
Velocity
↑
|________________________→ Time
|________________________
|_______|_________________→ Time
0
```

> Line along the time axis (velocity = 0).

---

#### 3. Toward origin for 10s, then stops
```
Velocity
↑
|________________________→ Time
| ________ → First 10s: negative velocity
| | |
|______|______|____________→ Time
0 10 20
```

> First 10s: horizontal line below zero; next 10s: line at zero.

---

#### 4. Away for 10s, then back at same speed
```
Velocity
↑
| _________
| | |
| | |
|_______|________|________→ Time
0 10 20
```

> First 10s: positive horizontal line; after 10s: negative horizontal line (same height in magnitude).

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🔍 Key Concepts:

- Constant velocity → straight horizontal line.
- Direction matters: away = +, toward = −.
- Speed is magnitude, but velocity includes direction.
- Zero velocity = at rest.

Let me know if you'd like these sketched visually or explained further!