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7. if you walked 20 meters, took a book from the table and then walked …

Question

  1. if you walked 20 meters, took a book from the table and then walked back to your seat in a total of 1 minute,

a. what was you speed?
b. what was your velocity?

  1. fred the snail crawled east to frank’s house to get a snack for evie’s birthday party. frank’s house was 1 meter to the east. he took 10 minutes to get there. fred then turned around, and crawled west, past his own house to evies’s house. evie’s house was 1 meter past his own house, so he crawled 2 meters west from frank’s house to get there, and took another 10 minutes. (complete the following questions. show your work.)

a. what was fred’s total speed, from the time he left his house till he arrived at the party?
b. what was the distance he travelled?
c. what was his displacement?
d. what was his velocity west?

Explanation:

Response
Question 7
Part a: Speed Calculation

Step1: Determine total distance

You walked 20 m to the table and 20 m back, so total distance $d = 20 + 20 = 40$ meters.

Step2: Convert time to seconds

Total time $t = 1$ minute $= 60$ seconds.

Step3: Calculate speed

Speed formula: $v_{speed} = \frac{d}{t}$. Substitute $d = 40$ m, $t = 60$ s: $v_{speed} = \frac{40}{60} = \frac{2}{3} \approx 0.67$ m/s.

Step1: Determine displacement

Displacement is final position - initial position. You started at your seat, went 20 m, then came back 20 m, so displacement $s = 0$ meters.

Step2: Calculate velocity

Velocity formula: $v_{velocity} = \frac{s}{t}$. Substitute $s = 0$ m, $t = 60$ s: $v_{velocity} = \frac{0}{60} = 0$ m/s.

Step1: Determine total distance

Fred crawled 1 m east to Frank’s house, then 2 m west to Evie’s house. Total distance $d = 1 + 2 = 3$ meters.

Step2: Determine total time

Total time $t = 10 + 10 = 20$ minutes $= 20 \times 60 = 1200$ seconds (or keep in minutes for speed in m/min: $t = 20$ min).

Step3: Calculate speed (using minutes for simplicity)

Speed formula: $v_{speed} = \frac{d}{t}$. Substitute $d = 3$ m, $t = 20$ min: $v_{speed} = \frac{3}{20} = 0.15$ m/min. (Or in m/s: $\frac{3}{1200} = 0.0025$ m/s)

Answer:

$\frac{2}{3}$ m/s (or approximately 0.67 m/s)

Part b: Velocity Calculation