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A cheetah can accelerate from rest at the rate of 4m/ s²
a.) what will be the velocity attained by it in 10 seconds
b.) how far will it travel in this duration?
a.) what will be the velocity attained by it in 10 seconds
b.) how far will it travel in this duration?
Most Upvoted Answer
A cheetah can accelerate from rest at the rate of 4m/ s²a.) what will ...
Velocity Attained in 10 Seconds
To determine the velocity attained by the cheetah after 10 seconds of acceleration, we can use the formula:
- Final Velocity (v) = Initial Velocity (u) + (Acceleration (a) × Time (t))
Given that:
- Initial Velocity (u) = 0 m/s (since it starts from rest)
- Acceleration (a) = 4 m/s²
- Time (t) = 10 seconds
Calculating the final velocity:
- Final Velocity (v) = 0 + (4 m/s² × 10 s)
- Final Velocity (v) = 40 m/s
Thus, the cheetah will attain a velocity of 40 m/s in 10 seconds.
Distance Traveled in 10 Seconds
To find the distance traveled during this period, we can use the formula:
- Distance (s) = Initial Velocity (u) × Time (t) + (1/2 × Acceleration (a) × Time (t)²)
Substituting the values:
- Initial Velocity (u) = 0 m/s
- Time (t) = 10 seconds
- Acceleration (a) = 4 m/s²
Calculating the distance:
- Distance (s) = 0 × 10 + (1/2 × 4 m/s² × (10 s)²)
- Distance (s) = 0 + (2 × 100)
- Distance (s) = 200 m
Therefore, the cheetah will travel a distance of 200 meters in 10 seconds.
Summary
- Velocity Attained: 40 m/s
- Distance Traveled: 200 m
This analysis shows how the cheetah can achieve remarkable speeds in a short amount of time through consistent acceleration.
To determine the velocity attained by the cheetah after 10 seconds of acceleration, we can use the formula:
- Final Velocity (v) = Initial Velocity (u) + (Acceleration (a) × Time (t))
Given that:
- Initial Velocity (u) = 0 m/s (since it starts from rest)
- Acceleration (a) = 4 m/s²
- Time (t) = 10 seconds
Calculating the final velocity:
- Final Velocity (v) = 0 + (4 m/s² × 10 s)
- Final Velocity (v) = 40 m/s
Thus, the cheetah will attain a velocity of 40 m/s in 10 seconds.
Distance Traveled in 10 Seconds
To find the distance traveled during this period, we can use the formula:
- Distance (s) = Initial Velocity (u) × Time (t) + (1/2 × Acceleration (a) × Time (t)²)
Substituting the values:
- Initial Velocity (u) = 0 m/s
- Time (t) = 10 seconds
- Acceleration (a) = 4 m/s²
Calculating the distance:
- Distance (s) = 0 × 10 + (1/2 × 4 m/s² × (10 s)²)
- Distance (s) = 0 + (2 × 100)
- Distance (s) = 200 m
Therefore, the cheetah will travel a distance of 200 meters in 10 seconds.
Summary
- Velocity Attained: 40 m/s
- Distance Traveled: 200 m
This analysis shows how the cheetah can achieve remarkable speeds in a short amount of time through consistent acceleration.
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A cheetah can accelerate from rest at the rate of 4m/ s²a.) what will be the velocity attained by it in 10 seconds b.) how far will it travel in this duration?
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A cheetah can accelerate from rest at the rate of 4m/ s²a.) what will be the velocity attained by it in 10 seconds b.) how far will it travel in this duration? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A cheetah can accelerate from rest at the rate of 4m/ s²a.) what will be the velocity attained by it in 10 seconds b.) how far will it travel in this duration? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cheetah can accelerate from rest at the rate of 4m/ s²a.) what will be the velocity attained by it in 10 seconds b.) how far will it travel in this duration?.
A cheetah can accelerate from rest at the rate of 4m/ s²a.) what will be the velocity attained by it in 10 seconds b.) how far will it travel in this duration? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A cheetah can accelerate from rest at the rate of 4m/ s²a.) what will be the velocity attained by it in 10 seconds b.) how far will it travel in this duration? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cheetah can accelerate from rest at the rate of 4m/ s²a.) what will be the velocity attained by it in 10 seconds b.) how far will it travel in this duration?.
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