Q5.An elevator descends into a mine shaft at 5 meters per minute. What will be its position after one hour?
Solution.
1. Determine the descent rate of the elevator:
The elevator descends at a rate of 5 meters per minute.
- Convert time from hours to minutes:
One hour is equal to 60 minutes.
- Calculate the total descent:
After one hour, the elevator will be 300 meters below its starting position in the mine shaft
The total descent in one hour can be calculated by multiplying the descent rate by the number of minutes in an hour:
Total descent = Descent rate x Time
Total descent=5meters/minute×60minutes
Total descent = 300meters
Q6. A Certain freezing process requires that room temperature be lowered from 40° C at the rate of 5° C every hour. What will be the room temperature 10 hours after the process begins?
- Initial room temperature:
The initial temperature is 40°C. - Rate of temperature decrease:
The temperature decreases at a rate of 5°C per hour. - Calculate the total decrease in temperature over 10 hours:
Total decrease = Rate of decrease ×Time
Total decrease = 5∘Cper hour×10hours
Total decrease=50∘C
- Calculate the room temperature after 10 hours:
Room temperature after 10 hours = Initial temperature−Total decrease
Room temperature after 10 hours = 40∘C−50∘C
Room temperature after 10 hours = −10∘C
The room temperature 10 hours after the process begins will be -10°C.