For instance, once Zia reaches her top speed on her motorcycle she can complete one lap in 10 seconds. The distance around the track is a standard 400 meters per lap. Calculating this, her speed is \( 40 \mathrm{~m} / \mathrm{s} \). \[ \mathrm{s}=400 \mathrm{~m} \div 10 \mathrm{sec}=40 \mathrm{~m} / \mathrm{s} \] Use the velocity formula to determine the speed ( \( \mathrm{m} / \mathrm{s} \) ) for Aki, the Prime Extractor, THE HIVE lobbers, and THE HIVE BOSS. 1. Aki, wearing his dash boots, can travel one lap around the track ( 400 m ) in 30 seconds. \( \square \) 2. Nikole is driving the pollution machine extractor vehicle 20 miles \( (32,190 . \mathrm{m} \) ) in half an hour ( 1800 s ). \( \square \) 3. THE HIVE boss is standing still for 30 seconds. \( \square \) 4. THE HIVE lobbers walk 3 miles in an hour (don't forget to convert to meters/second. 1 mile \( =1609 \) meters and 1 hour \( =3600 \) seconds). \( \square \) Page 1 RLASMA

Sure, let's calculate the speed for each character using the velocity formula: \[ \text{Speed} (\mathrm{m/s}) = \frac{\text{Distance} (\mathrm{m})}{\text{Time} (\mathrm{s})} \] ### 1. Aki **Given:** - Distance = 400 meters - Time = 30 seconds **Calculation:** \[ \mathrm{s} = \frac{400 \mathrm{~m}}{30 \mathrm{~s}} \approx 13.33 \mathrm{~m/s} \] **Answer:** Aki's speed is approximately **13.33  m/s**. --- ### 2. Nikole **Given:** - Distance = 20 miles = 32,190 meters - Time = 0.5 hours = 1,800 seconds **Calculation:** \[ \mathrm{s} = \frac{32,190 \mathrm{~m}}{1,800 \mathrm{~s}} \approx 17.88 \mathrm{~m/s} \] **Answer:** Nikole's speed is approximately **17.88  m/s**. --- ### 3. THE HIVE Boss **Given:** - Distance = 0 meters (standing still) - Time = 30 seconds **Calculation:** \[ \mathrm{s} = \frac{0 \mathrm{~m}}{30 \mathrm{~s}} = 0 \mathrm{~m/s} \] **Answer:** THE HIVE Boss's speed is **0  m/s** (standing still). --- ### 4. THE HIVE Lobbers **Given:** - Distance = 3 miles = 3 × 1,609 = 4,827 meters - Time = 1 hour = 3,600 seconds **Calculation:** \[ \mathrm{s} = \frac{4,827 \mathrm{~m}}{3,600 \mathrm{~s}} \approx 1.34 \mathrm{~m/s} \] **Answer:** THE HIVE Lobbers' speed is approximately **1.34  m/s**. --- **Summary of Speeds:** 1. **Aki:** 13.33  m/s 2. **Nikole:** 17.88  m/s 3. **THE HIVE Boss:** 0  m/s 4. **THE HIVE Lobbers:** 1.34  m/s