Let's solve each problem step by step using the basic formulas for
speed and
velocity:
Key Formulas:
-
Speed = Distance / Time
$ v = \frac{d}{t} $
-
Time = Distance / Speed
$ t = \frac{d}{v} $
-
Distance = Speed × Time
$ d = v \times t $
We'll use these to fill out each table.
---
1. Megan rolls a ball down a ramp until the ball hits the wall. The ramp is 2.5 m long and the distance from the end of the ramp to the wall is 1.5 m. If it took 0.5 seconds for the ball to hit the wall, then what is the ball’s speed?
>
Important Note: The total distance the ball travels is the length of the ramp
plus the distance from the end of the ramp to the wall.
> So:
> Total distance = 2.5 m + 1.5 m =
4.0 m
| Solving for | Equation |
|------------|---------|
| Speed (v) | $ v = \frac{d}{t} $ |
| Substitute (work) | Answer w/ units |
|------------------|----------------|
| $ v = \frac{4.0\,\text{m}}{0.5\,\text{s}} = 8.0\,\text{m/s} $ |
8.0 m/s |
✔ Answer: 8.0 m/s
---
2. How much time does it take a person to walk 12 km north at a velocity of 6.5 km/h?
Note: Velocity here is given in km/h, and direction is "north" — but since we're only solving for time, direction doesn't matter.
| Solving for | Equation |
|------------|---------|
| Time (t) | $ t = \frac{d}{v} $ |
| Substitute (work) | Answer w/ units |
|------------------|----------------|
| $ t = \frac{12\,\text{km}}{6.5\,\text{km/h}} \approx 1.846\,\text{h} $ |
≈ 1.85 hours (or 1 hour 51 minutes) |
✔ Answer: ≈ 1.85 hours
---
3. A car traveled 1425 km from El Paso, TX to Dallas, TX in 12.5 hours. What was the car’s average speed?
| Solving for | Equation |
|------------|---------|
| Average speed (v) | $ v = \frac{d}{t} $ |
| Substitute (work) | Answer w/ units |
|------------------|----------------|
| $ v = \frac{1425\,\text{km}}{12.5\,\text{h}} = 114\,\text{km/h} $ |
114 km/h |
✔ Answer: 114 km/h
---
4. If an airplane travels a distance of 500 km in 5 hours, what is its average speed?
| Solving for | Equation |
|------------|---------|
| Average speed (v) | $ v = \frac{d}{t} $ |
| Substitute (work) | Answer w/ units |
|------------------|----------------|
| $ v = \frac{500\,\text{km}}{5\,\text{h}} = 100\,\text{km/h} $ |
100 km/h |
✔ Answer: 100 km/h
---
5. A boat is traveling a distance of 90 km at a speed of 30 km/h, how long will it take to reach its destination?
| Solving for | Equation |
|------------|---------|
| Time (t) | $ t = \frac{d}{v} $ |
| Substitute (work) | Answer w/ units |
|------------------|----------------|
| $ t = \frac{90\,\text{km}}{30\,\text{km/h}} = 3\,\text{hours} $ |
3 hours |
✔ Answer: 3 hours
---
✔ Final Answers Summary:
1.
8.0 m/s
2.
≈ 1.85 hours
3.
114 km/h
4.
100 km/h
5.
3 hours
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of speed and velocity problems worksheet.
