Question

1. when the kayak races downstream, its speed is clocked at 3 m/s. how far does the kayak travel in 35 s?
2. how far does the kayak, traveling at 3m/s travel in one hour (change to seconds first)?
3. you took a car trip with your family to visit relatives who live in another state. you drove for 6 hours and covered 480 miles. you & your family stopped for 1 hour to stretch and have something to eat. you returned to the road for another 3 hours and covered 210 miles. you stopped and fueled up which took approximately ½ hour. the final stretch to your relatives was a bumper to bumper stretch that took 3 hours but you only travelled 50 miles. what was the average speed for the entire trip?

Explanation:

Step1: Recall distance - speed formula

The formula for distance $d$ is $d = v\times t$, where $v$ is speed and $t$ is time.

Step2: Solve for question 8

Given $v = 3$ m/s and $t = 35$ s. Substitute into the formula: $d=3\times35 = 105$ m.

Step3: Convert 1 hour to seconds for question 9

Since 1 hour = 3600 s, and $v = 3$ m/s. Using the formula $d = v\times t$, we have $d=3\times3600=10800$ m.

Step4: Calculate total distance and total time for question 10

Total distance $D=480 + 210+50=740$ miles.
Total time $T=6 + 1+3+\frac{1}{2}+3=13.5$ hours.
Average speed $S=\frac{D}{T}=\frac{740}{13.5}\approx54.81$ miles per hour.

Answer:

1. 105 m
2. 10800 m
3. Approximately 54.81 miles per hour