Question

velocity = displacement / time, v = δx / δt

1. grace rides her horse with a constant velocity of 20 km/h. how far can she travel in 1 hour?
2. an airplane flies with a constant velocity of 788 km/h. how far can it travel in 3.75 hours?
3. joseph rides his bike with a constant velocity of 11 kilometers per hour. how far can he travel in 3 hours?
4. nancy roller skates with a constant velocity of 16 meters per minute. how long will she take to distance of 60 meters?

Explanation:

Step1: Recall velocity - distance - time formula

The formula is $v=\frac{\Delta x}{\Delta t}$, which can be rewritten as $\Delta x = v\times\Delta t$ for distance - finding problems and $\Delta t=\frac{\Delta x}{v}$ for time - finding problems.

Step2: Solve problem 1

Grace's velocity $v = 20$ km/h and $\Delta t = 1$ h. Using $\Delta x=v\times\Delta t$, we have $\Delta x=20\times1 = 20$ km.

Step3: Solve problem 2

The plane's velocity $v = 788$ km/h and $\Delta t = 3.75$ h. Then $\Delta x=v\times\Delta t=788\times3.75=788\times\frac{15}{4}=2955$ km.

Step4: Solve problem 3

Joseph's velocity $v = 11$ km/h and $\Delta t = 3$ h. So $\Delta x=v\times\Delta t=11\times3 = 33$ km.

Step5: Solve problem 4

Nancy's velocity $v = 16$ m/min and $\Delta x = 60$ m. Using $\Delta t=\frac{\Delta x}{v}$, we get $\Delta t=\frac{60}{16}=\frac{15}{4}=3.75$ min.

Answer:

1. 20 km
2. 2955 km
3. 33 km
4. 3.75 min