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In 5 seconds, an automobile speeds from 18 km/h to 36 km/h. What is the acceleration of the automobile in m/s?
- a)0.5 m/s²
- b)3 m/s²
- c)1 m/s²
- d)2 m/s²
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In 5 seconds, an automobile speeds from 18 km/h to 36 km/h. What is th...
To calculate the acceleration of the automobile, we need to convert the speeds from km/h to m/s and use the formula for acceleration, which is given by:
Acceleration (a) = (final velocity - initial velocity) / time
Given: Initial velocity (u) = 18 km/h Final velocity (v) = 36 km/h Time (t) = 5 seconds
Converting the velocities to m/s: Initial velocity (u) = 18 km/h = 18 * (1000 m / 3600 s) = 5 m/s Final velocity (v) = 36 km/h = 36 * (1000 m / 3600 s) = 10 m/s
Using the formula for acceleration: Acceleration (a) = (10 m/s - 5 m/s) / 5 s = 5 m/s / 5 s = 1 m/s²
Therefore, the acceleration of the automobile is 1 m/s².
The correct answer is c) 1 m/s².
Most Upvoted Answer
In 5 seconds, an automobile speeds from 18 km/h to 36 km/h. What is th...
Understanding the Problem
To find the acceleration of the automobile, we need to determine the change in velocity over time. The initial velocity is 18 km/h, and the final velocity is 36 km/h.
Step 1: Convert velocities from km/h to m/s
- 1 km/h is equal to 1/3.6 m/s.
- Initial velocity (u) = 18 km/h = 18 / 3.6 = 5 m/s.
- Final velocity (v) = 36 km/h = 36 / 3.6 = 10 m/s.
Step 2: Calculate the change in velocity
- Change in velocity (Δv) = Final velocity (v) - Initial velocity (u)
- Δv = 10 m/s - 5 m/s = 5 m/s.
Step 3: Calculate the time taken
- The time interval (t) is given as 5 seconds.
Step 4: Calculate acceleration
- Acceleration (a) is given by the formula: a = Δv / t.
- Substituting the values: a = 5 m/s / 5 s = 1 m/s².
Conclusion
Hence, the acceleration of the automobile is 1 m/s², which corresponds to option 'C'.
This calculation illustrates how to convert units and use the formula for acceleration effectively.
To find the acceleration of the automobile, we need to determine the change in velocity over time. The initial velocity is 18 km/h, and the final velocity is 36 km/h.
Step 1: Convert velocities from km/h to m/s
- 1 km/h is equal to 1/3.6 m/s.
- Initial velocity (u) = 18 km/h = 18 / 3.6 = 5 m/s.
- Final velocity (v) = 36 km/h = 36 / 3.6 = 10 m/s.
Step 2: Calculate the change in velocity
- Change in velocity (Δv) = Final velocity (v) - Initial velocity (u)
- Δv = 10 m/s - 5 m/s = 5 m/s.
Step 3: Calculate the time taken
- The time interval (t) is given as 5 seconds.
Step 4: Calculate acceleration
- Acceleration (a) is given by the formula: a = Δv / t.
- Substituting the values: a = 5 m/s / 5 s = 1 m/s².
Conclusion
Hence, the acceleration of the automobile is 1 m/s², which corresponds to option 'C'.
This calculation illustrates how to convert units and use the formula for acceleration effectively.
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In 5 seconds, an automobile speeds from 18 km/h to 36 km/h. What is the acceleration of the automobile in m/s?a)0.5 m/s²b)3 m/s²c)1 m/s²d)2 m/s²Correct answer is option 'C'. Can you explain this answer?
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