JEE MAIN - Physics (2025 - 23rd January Morning Shift - No. 17)
The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is ̱_______ km .
Explanation
The distance covered by the airplane in the first 30.5 seconds can be determined by calculating the area under the velocity-time graph.
The formula for distance in this scenario is:
$ \text{Distance} = \text{Area under the graph} $
Calculating the individual areas:
$ 300 \, \text{m/s} \times 2 \, \text{s} = 600 \, \text{m} $
$ 400 \, \text{m/s} \times 28.5 \, \text{s} = 11400 \, \text{m} $
Adding these values gives the total distance:
$ \text{Total distance} = 600 \, \text{m} + 11400 \, \text{m} = 12000 \, \text{m} $
Thus, the distance covered by the airplane in the first 30.5 seconds is $ 12000 \, \text{m} $, which is equivalent to 12 km.
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