Question

you get out of school and walk north for 20 minutes. you travel 1.6 km. what is your average velocity? what is the speed of a jet plane that travels 528 meters in 4 seconds? in a skateboarding race, the winner covered 26 meters in 3.88 seconds. what was his speed? it takes a slug 20 minutes to travel from the grass to the trash can, a trip of 15 meters. how far could the slug travel in 60 minutes? a sky diver jumps out of a plane and reaches terminal velocity at 91 meters per second. how far will she fall in 35 seconds? a plane flies from ny to la at a constant speed of 800

Explanation:

Step1: Recall speed - velocity formula

The formula for average velocity (or speed when direction is not a concern) is $v=\frac{d}{t}$, where $v$ is velocity/speed, $d$ is distance, and $t$ is time.

Question 1

You walk 1.6 km (convert to meters: $d = 1.6\times1000=1600$ m) in 20 minutes (convert to seconds: $t = 20\times60 = 1200$ s).
$v=\frac{d}{t}=\frac{1600}{1200}=\frac{4}{3}\approx1.33$ m/s. In km/min, $v=\frac{1.6}{20}=0.08$ km/min.

Question 2

In a skate - boarding race, the winner covered $d = 26$ m in $t = 3.88$ s.
$v=\frac{d}{t}=\frac{26}{3.88}\approx6.70$ m/s.

Question 3

It takes a slug $t = 20$ minutes (convert to seconds: $t=20\times60 = 1200$ s) to travel from the grass to the trash - can. If it travels for $t = 60$ minutes (convert to seconds: $t = 60\times60=3600$ s) and its speed is constant, and assume its speed is $v$ (from previous part, we first find speed in m/s). But if we consider the proportion, if in 20 minutes it moves some distance, in 60 minutes it will move 3 times the distance. Since in 20 minutes (1200 s) with speed $v=\frac{d_1}{1200}$, in 60 minutes (3600 s) $d = 3d_1$. If we assume a linear motion, and we know that if in 20 minutes it moves some distance, in 60 minutes it moves 3 times that distance. If we consider the general formula $d=v\times t$. First, we need to find speed from the first - given time and distance. But if we just use the time - proportion, if it takes 20 minutes to move a certain distance, in 60 minutes it will move 3 times the distance. If we assume the speed is constant, and the initial distance is $d_1$ in 20 minutes, in 60 minutes $d = 3d_1$. If we consider the fact that speed $v$ is constant, and we know $v=\frac{d}{t}$, and $t_1 = 20$ min, $t_2 = 60$ min, $d_2=\frac{t_2}{t_1}\times d_1$. Since we are not given the initial distance, we assume a non - zero distance. If we consider the time ratio, the slug can travel 3 times the distance it travels in 20 minutes in 60 minutes. If we assume it travels 15 m in 20 minutes, in 60 minutes it can travel $d=45$ m.

Question 4

A skydiver jumps out of a plane and reaches terminal velocity at $v = 91$ m/s. In $t = 35$ s, the distance fallen $d=v\times t$.
$d=91\times35 = 3185$ m.

Question 5

A plane flies from NY to LA at a constant speed of $v = 800$ km/h. But this part of the question seems incomplete as no time or distance is asked to be calculated further.

Answer:

Question 1: 0.08 km/min
Question 2: 6.70 m/s
Question 3: 45 m (assuming linear and constant - speed motion based on time proportion)
Question 4: 3185 m
Question 5: Incomplete question, no specific answer can be given.