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A particle was at rest from 1 to 1:30 am it moved at a uniform speed 50km/hr from 1.30 to 2:00 a.m. find the average speed between 1:15-2:00 am?
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A particle was at rest from 1 to 1:30 am it moved at a uniform speed 5...
Problem: A particle was at rest from 1 to 1:30 am. It moved at a uniform speed of 50km/hr from 1:30 to 2:00 am. Find the average speed between 1:15-2:00 am.

Explanation:


Step 1: Calculate the distance covered by the particle


Distance covered by the particle between 1:30-2:00 am = 50 km/hr * (2:00-1:30) hr = 25 km

Step 2: Calculate the time taken by the particle to cover the distance between 1:15-2:00 am


Time taken by the particle to cover the distance between 1:15-1:30 am = (1:30-1:15) hr = 0.25 hr

Time taken by the particle to cover the distance between 1:30-2:00 am = (2:00-1:30) hr = 0.5 hr

Total time taken by the particle to cover the distance between 1:15-2:00 am = 0.25+0.5 = 0.75 hr

Step 3: Calculate the average speed of the particle between 1:15-2:00 am


Average speed of the particle between 1:15-2:00 am = Total distance covered / Total time taken

= (Distance covered between 1:30-2:00 am) / (Total time taken between 1:15-2:00 am)

= 25 km / 0.75 hr

= 33.33 km/hr

Conclusion:


Therefore, the average speed of the particle between 1:15-2:00 am is 33.33 km/hr.
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