Here's the assessment for each question you've provided:
Question 8:
To find the acceleration, use Newton's second law:
\[ F = m \cdot a \]
Rearranging gives:
\[ a = \frac{F}{m} \]
Substituting in the values:
\[ a = \frac{10 , \text{N}}{4.0 , \text{kg}} = 2.5 , \text{m/s}^2 \]
Rounded to the nearest tenth: 2.5
Question 9:
To find the time it takes for Amelia to complete the race, use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Substituting in the values:
\[ \text{Time} = \frac{600 , \text{m}}{8 , \text{m/s}} = 75 , \text{seconds} \]
So, the answer is a 75 seconds.
Question 10:
To find the acceleration of the car, using the given graph would typically show how speed changes over time. Assuming acceleration is calculated as:
\[ a = \frac{\Delta v}{\Delta t} \]
If the graph shows a constant increase from \(0 , \text{m/s}\) to \(10 , \text{m/s}\) over 10 seconds, then:
\[ \text{Acceleration} = \frac{10 , \text{m/s} - 0 , \text{m/s}}{10 , \text{s}} = 1.0 , \text{m/s}^2 \]
So the answer is a 1.0 m/s².
Question 4:
To find the average speed, use:
\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} \]
Substituting in:
\[ \text{Average speed} = \frac{10 , \text{m}}{5 , \text{s}} = 2.0 , \text{m/s} \]
So the answer is c 2.0 m/s.
Question 5:
Without the specific graph, I can’t provide the exact segment. However, typically, a segment moving back toward the start point often represents the motion toward the nest.
Question 6:
Without the graph details, I can't provide a direct answer. A constant speed would have a linear slope in distance vs. time, while increasing speed would show a curve or slope getting steeper.
Question 7:
When balanced forces act, the net force is:
b equal to zero.
Question 9 (again):
You previously already calculated the answer for her swimming time, which is confirmed as 75 seconds.
Question 10 (again):
For the speeds of animals:
- Gray fox: \( \frac{73 , \text{km}}{1.05 , \text{h}} \approx 69.5 , \text{km/h}\)
- Gazelle: \( \frac{68 , \text{km}}{0.85 , \text{h}} \approx 80 , \text{km/h}\)
- Rabbit: \( \frac{70 , \text{km}}{1.25 , \text{h}} \approx 56 , \text{km/h}\)
- Cheetah: \( \frac{85 , \text{km}}{0.75 , \text{h}} \approx 113.3 , \text{km/h}\)
- Giraffe: \( \frac{60 , \text{km}}{1.15 , \text{h}} \approx 52.2 , \text{km/h}\)
- Antelope: \( \frac{93 , \text{km}}{0.95 , \text{h}} \approx 97.9 , \text{km/h}\)
The d cheetah has the greatest speed.
Question 12:
The correct answer is A) 1:1:2.
Question 13:
Using the formula:
\[ a = \frac{v_{\text{final}} - v_{\text{initial}}}{\text{time}} = \frac{8.0 , \text{m/s} - 0 , \text{m/s}}{2.0 , \text{s}} = 4.0 , \text{m/s}^2 \]
So the answer is b 4.0 m/s².
Question 14:
The key distinction:
c Velocity has direction.
Question 15:
The difference is:
a A vector measurement contains a direction and magnitude, a scalar measurement only contains a magnitude.
Make sure to review your answers and apply this learning according to your unique requirements!