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In a uniformly accelerated motion, the speed varies from 0 to 20 m/s in 4 s. What is the average speed during the motion?
- a)10 m/s
- b)20 m/s
- c)0 m/s
- d)15 m/s
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a uniformly accelerated motion, the speed varies from 0 to 20 m/s i...
From first equation of motion we have, v = u + at, which implies that a = 5 m/s2. From second equation of motion we have s = ut + (1/2)at2, which implies that s = 40 m. Average speed = s/t = 40/4 = 10 m/s.
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Community Answer
In a uniformly accelerated motion, the speed varies from 0 to 20 m/s i...
Given:
- Initial speed (u) = 0 m/s
- Final speed (v) = 20 m/s
- Time taken (t) = 4 s
To find:
- Average speed during the motion
Formula:
- Average speed = Total distance covered / Total time taken
Explanation:
In uniformly accelerated motion, the average speed is the total distance covered divided by the total time taken.
Step 1: Calculate the total distance covered
To find the total distance covered, we can use the formula:
- Distance (s) = Initial speed (u) * Time taken (t) + (1/2) * Acceleration * Time taken (t)^2
Since the initial speed (u) is 0, the formula simplifies to:
- Distance (s) = (1/2) * Acceleration * Time taken (t)^2
Step 2: Calculate the acceleration
To calculate the acceleration, we can use the formula:
- Acceleration (a) = (Final speed (v) - Initial speed (u)) / Time taken (t)
Substituting the given values:
- Acceleration (a) = (20 m/s - 0 m/s) / 4 s
- Acceleration (a) = 5 m/s^2
Step 3: Calculate the total distance covered
Using the formula from Step 1:
- Distance (s) = (1/2) * 5 m/s^2 * (4 s)^2
- Distance (s) = 40 m
Step 4: Calculate the average speed
Using the formula:
- Average speed = Total distance covered / Total time taken
Substituting the values:
- Average speed = 40 m / 4 s
- Average speed = 10 m/s
Therefore, the average speed during the motion is 10 m/s. Hence, the correct answer is option 'A'.
- Initial speed (u) = 0 m/s
- Final speed (v) = 20 m/s
- Time taken (t) = 4 s
To find:
- Average speed during the motion
Formula:
- Average speed = Total distance covered / Total time taken
Explanation:
In uniformly accelerated motion, the average speed is the total distance covered divided by the total time taken.
Step 1: Calculate the total distance covered
To find the total distance covered, we can use the formula:
- Distance (s) = Initial speed (u) * Time taken (t) + (1/2) * Acceleration * Time taken (t)^2
Since the initial speed (u) is 0, the formula simplifies to:
- Distance (s) = (1/2) * Acceleration * Time taken (t)^2
Step 2: Calculate the acceleration
To calculate the acceleration, we can use the formula:
- Acceleration (a) = (Final speed (v) - Initial speed (u)) / Time taken (t)
Substituting the given values:
- Acceleration (a) = (20 m/s - 0 m/s) / 4 s
- Acceleration (a) = 5 m/s^2
Step 3: Calculate the total distance covered
Using the formula from Step 1:
- Distance (s) = (1/2) * 5 m/s^2 * (4 s)^2
- Distance (s) = 40 m
Step 4: Calculate the average speed
Using the formula:
- Average speed = Total distance covered / Total time taken
Substituting the values:
- Average speed = 40 m / 4 s
- Average speed = 10 m/s
Therefore, the average speed during the motion is 10 m/s. Hence, the correct answer is option 'A'.
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In a uniformly accelerated motion, the speed varies from 0 to 20 m/s in 4 s. What is the average speed during the motion?a)10 m/sb)20 m/sc)0 m/sd)15 m/sCorrect answer is option 'A'. Can you explain this answer?
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