Question

i. please write a physics - related sentence for each key term: one key term per sentence. a. phenomena b. tympanic membrane c. retina d. molecules e. olfactory f. aspects ii. please show \3 steps\ to solve each problem. square brackets indicate units for the answer. a. given: d = 30m, t = 0.30min find: v m/s b. given: v = 3km/h, t = 30min find: d m c. given: v = 25m/s, d = 2500m find: t s d. given: d = 2500m, t = 3600s find: v km/h e. given: v = 40cm/min, t = 4min find: d m f. given: v = 0.40m/s, d = 16min find: t s

Explanation:

Step1: Recall the formula

The formula for speed is $v=\frac{d}{t}$, where $v$ is speed, $d$ is distance and $t$ is time. We can re - arrange it to find $d = v\times t$ and $t=\frac{d}{v}$. Also, convert units when necessary.

Step2: Solve part A

Given $d = 30m$ and $t=0.30min = 0.30\times60s=18s$. Using $v=\frac{d}{t}$, we have $v=\frac{30m}{18s}=\frac{5}{3}m/s\approx1.67m/s$.

Step3: Solve part B

Given $v = 3km/h$ and $t = 30min=0.5h$. Using $d = v\times t$, we get $d=3km/h\times0.5h = 1.5km=1500m$.

Step4: Solve part C

Given $v = 25m/s$ and $d = 2500m$. Using $t=\frac{d}{v}$, we have $t=\frac{2500m}{25m/s}=100s$.

Step5: Solve part D

Given $d = 2500m$ and $t = 3600s$. First, find $v=\frac{d}{t}=\frac{2500m}{3600s}=\frac{25}{36}m/s$. To convert to km/h, we know that $1m/s = 3.6km/h$. So $v=\frac{25}{36}m/s\times3.6km/h = 2.5km/h$.

Step6: Solve part E

Given $v = 40cm/min$ and $t = 4min$. Using $d = v\times t$, we get $d=40cm/min\times4min = 160cm = 1.6m$.

Step7: Solve part F

Given $v = 0.40m/s$ and $d = 16min$. First convert $16min$ to seconds: $16min=16\times60s = 960s$. Using $t=\frac{d}{v}$, we have $t=\frac{960s\times0.40m/s}{1}=384s$.

Answer:

A. $v\approx1.67m/s$
B. $d = 1500m$
C. $t = 100s$
D. $v = 2.5km/h$
E. $d = 1.6m$
F. $t = 384s$