Worksheet for calculating speed, velocity, and acceleration with detailed problems and space for showing work.

Speed, Velocity, and Acceleration Calculations Worksheet

#### Part 1 - Speed Calculations

1. Calculate the speed for a car that went a distance of 125 miles in 2 hours time.

- Solving for: Speed
- Equation:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
- Answer w/ units:
\[
\text{Speed} = \frac{125 \, \text{miles}}{2 \, \text{hours}} = 62.5 \, \text{miles per hour (mph)}
\]
- Show your work:
\[
\text{Speed} = \frac{125}{2} = 62.5 \, \text{mph}
\]

---

2. A baseball is thrown a distance of 60 feet. What is its speed if it takes 0.5 seconds to cover the distance?

- Solving for: Speed
- Equation:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
- Answer w/ units:
\[
\text{Speed} = \frac{60 \, \text{feet}}{0.5 \, \text{seconds}} = 120 \, \text{feet per second (ft/s)}
\]
- Show your work:
\[
\text{Speed} = \frac{60}{0.5} = 120 \, \text{ft/s}
\]

---

3. A comet is cruising through the Solar System at a speed of 50,000 kilometers per hour for 4 hours time. What is the total distance traveled by the comet during this time?

- Solving for: Distance
- Equation:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
- Answer w/ units:
\[
\text{Distance} = 50,000 \, \text{km/h} \times 4 \, \text{hours} = 200,000 \, \text{kilometers (km)}
\]
- Show your work:
\[
\text{Distance} = 50,000 \times 4 = 200,000 \, \text{km}
\]

---

#### Part 2 - Speed and Velocity Calculations

4. Bob rides his bicycle on a bike path that is 75 kilometers long to get to his house that is due east of the bike path. If it takes Bob 15 hours then:
- a. What is his speed?
- b. What is his velocity?

- Solving for:
- a. Speed
- b. Velocity

- Equation:
- Speed: \(\text{Speed} = \frac{\text{Distance}}{\text{Time}}\)
- Velocity: \(\text{Velocity} = \frac{\text{Displacement}}{\text{Time}}\)

- Answer w/ units:
- a. Speed:
\[
\text{Speed} = \frac{75 \, \text{km}}{15 \, \text{hours}} = 5 \, \text{km/h}
\]
- b. Velocity:
Since Bob's displacement is the same as the distance traveled (due east), the velocity is:
\[
\text{Velocity} = \frac{75 \, \text{km}}{15 \, \text{hours}} = 5 \, \text{km/h} \, \text{(east)}
\]

- Show your work:
- a. Speed:
\[
\text{Speed} = \frac{75}{15} = 5 \, \text{km/h}
\]
- b. Velocity:
\[
\text{Velocity} = \frac{75}{15} = 5 \, \text{km/h} \, \text{(east)}
\]

---

Final Answers:

1. Speed of the car: \(\boxed{62.5 \, \text{mph}}\)
2. Speed of the baseball: \(\boxed{120 \, \text{ft/s}}\)
3. Distance traveled by the comet: \(\boxed{200,000 \, \text{km}}\)
4. a. Speed of Bob: \(\boxed{5 \, \text{km/h}}\)
b. Velocity of Bob: \(\boxed{5 \, \text{km/h} \, \text{(east)}}\)