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To find the time it takes Amelia to complete a 600-meter race at a speed of 8 meters per second, you use the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{600 \text{ m}}{8 \text{ m/s}} = 75 \text{ seconds} \] Answer: a) 75 seconds
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To find the speed of each animal, you can calculate speed using the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
- Gray fox: \( \frac{73 \text{ km}}{1.05 \text{ h}} \approx 69.52 \text{ km/h} \)
- Gazelle: \( \frac{68 \text{ km}}{0.85 \text{ h}} \approx 80.00 \text{ km/h} \)
- Rabbit: \( \frac{70 \text{ km}}{1.25 \text{ h}} \approx 56.00 \text{ km/h} \)
- Cheetah: \( \frac{85 \text{ km}}{0.75 \text{ h}} \approx 113.33 \text{ km/h} \)
- Giraffe: \( \frac{60 \text{ km}}{1.15 \text{ h}} \approx 52.17 \text{ km/h} \)
- Antelope: \( \frac{93 \text{ km}}{0.95 \text{ h}} \approx 97.89 \text{ km/h} \)
The cheetah has the greatest speed. Answer: d) cheetah
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Balancing the equation \( \text{Mg} + \text{F}_2 \rightarrow \text{MgF}_2 \): Each Mg atom combines with two F atoms. Therefore, the balanced equation is: \[ 1 \text{ Mg} + 1 \text{ F}_2 \rightarrow 1 \text{ MgF}_2 \] So, the coefficients are 1:1:1. Answer: B) 1:1:1
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To calculate acceleration: \[ \text{Acceleration} = \frac{v_{\text{final}} - v_{\text{initial}}}{\text{Time}} = \frac{8.0 \text{ m/s} - 0 \text{ m/s}}{2.0 \text{ s}} = \frac{8.0 \text{ m/s}}{2.0 \text{ s}} = 4.0 \text{ m/s}^2 \] Answer: b) 4.0 m/s²
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The difference between speed and velocity is that velocity includes direction while speed does not. Answer: c) Velocity has direction.
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A vector measurement contains both direction and magnitude, while a scalar measurement contains only magnitude. Answer: a) A vector measurement contains a direction and magnitude, a scalar measurement only contains a magnitude