Determining Speed Velocity Worksheet Answers Unique Calculating ... - Free Printable

The task involves calculating the speed or velocity of various objects based on the distance covered and the time taken. The formula used is:

\[
\text{Speed (or Velocity)} = \frac{\text{Distance}}{\text{Time}}
\]

Let's go through each problem step by step.

---

Problem 1:

Calculate the speed of a dog running through a field if he is covering 23.7 meters in 54 seconds.

- Given:
- Distance (\(d\)) = 23.7 meters
- Time (\(t\)) = 54 seconds

- Formula:
\[
S = \frac{d}{t}
\]

- Calculation:
\[
S = \frac{23.7 \, \text{meters}}{54 \, \text{seconds}} = 0.43 \, \text{m/s}
\]

- Answer:
\[
\boxed{0.43 \, \text{m/s}}
\]

---

Problem 2:

If a cross-country runner covers a distance of 347 meters in 134 seconds, what is her speed?

- Given:
- Distance (\(d\)) = 347 meters
- Time (\(t\)) = 134 seconds

- Formula:
\[
S = \frac{d}{t}
\]

- Calculation:
\[
S = \frac{347 \, \text{meters}}{134 \, \text{seconds}} = 2.59 \, \text{m/s}
\]

- Answer:
\[
\boxed{2.59 \, \text{m/s}}
\]

---

Problem 3:

What is the speed of a baseball that travels 49 meters in 2.4 seconds?

- Given:
- Distance (\(d\)) = 49 meters
- Time (\(t\)) = 2.4 seconds

- Formula:
\[
S = \frac{d}{t}
\]

- Calculation:
\[
S = \frac{49 \, \text{meters}}{2.4 \, \text{seconds}} = 20.42 \, \text{m/s}
\]

- Answer:
\[
\boxed{20.42 \, \text{m/s}}
\]

---

Problem 4:

What is the speed of a horse in meters per second that runs a distance of 1.2 miles in 2.4 minutes?

- Given:
- Distance (\(d\)) = 1.2 miles
- Time (\(t\)) = 2.4 minutes

- Step 1: Convert distance from miles to meters.
- 1 mile = 5280 feet
- 1 foot = 0.3048 meters
\[
1.2 \, \text{miles} \times 5280 \, \text{feet/mile} \times 0.3048 \, \text{meters/foot} = 1931.2128 \, \text{meters}
\]

- Step 2: Convert time from minutes to seconds.
- 1 minute = 60 seconds
\[
2.4 \, \text{minutes} \times 60 \, \text{seconds/minute} = 144 \, \text{seconds}
\]

- Step 3: Calculate speed.
\[
S = \frac{d}{t} = \frac{1931.2128 \, \text{meters}}{144 \, \text{seconds}} = 13.41 \, \text{m/s}
\]

- Answer:
\[
\boxed{13.41 \, \text{m/s}}
\]

---

Problem 5:

Calculate the velocity of a car that travels 556 kilometers northeast in 3.4 hours. Leave your answer in kilometers per hour.

- Given:
- Distance (\(d\)) = 556 kilometers
- Time (\(t\)) = 3.4 hours

- Formula:
\[
V = \frac{d}{t}
\]

- Calculation:
\[
V = \frac{556 \, \text{kilometers}}{3.4 \, \text{hours}} = 163.52 \, \text{km/h}
\]

- Answer:
\[
\boxed{163.52 \, \text{km/h} \, \text{northeast}}
\]

---

Problem 6:

If the distance covered by a jogger is 2,541 meters through the park and the time it took to cover that distance was 43.6 minutes, what was the speed of the jogger?

- Given:
- Distance (\(d\)) = 2,541 meters
- Time (\(t\)) = 43.6 minutes

- Step 1: Convert time from minutes to seconds.
- 1 minute = 60 seconds
\[
43.6 \, \text{minutes} \times 60 \, \text{seconds/minute} = 2616 \, \text{seconds}
\]

- Step 2: Calculate speed.
\[
S = \frac{d}{t} = \frac{2541 \, \text{meters}}{2616 \, \text{seconds}} = 0.97 \, \text{m/s}
\]

- Answer:
\[
\boxed{0.97 \, \text{m/s}}
\]

---

Final Answers:

1. \( \boxed{0.43 \, \text{m/s}} \)
2. \( \boxed{2.59 \, \text{m/s}} \)
3. \( \boxed{20.42 \, \text{m/s}} \)
4. \( \boxed{13.41 \, \text{m/s}} \)
5. \( \boxed{163.52 \, \text{km/h} \, \text{northeast}} \)
6. \( \boxed{0.97 \, \text{m/s}} \)