A celestial body orbits the sun. It consists of rock and ice. As it passes close to the sun, the body forms a long tail of dust.
2 answers:
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Answer:
a)
b)
c)
d)
Explanation:
Given is the data of variation of temperature with respect to the distance traveled:
Temperature T as a function of distance d:
...................................(1)
(a)
Total change in temperature from the start till the end of the journey:
..............................(2)
where:
= final temperature
= initial temperature
∵In the start of the journey d = 0 miles & at the end of the journey d = 100 miles.
So, correspondingly we have the eq. (2) & (1) as:
(b)
Now, the average rate of change of the temperature, with respect to distance, from the beginning of the trip to the end of the trip be calculated as:
......................(3)
where:
= change in distance
change in temperature with respect to distance
putting the respective values in eq. (3)
(c)
comparing the given function of the temperature with the general equation of a straight line:
We find that we have the slope of the equation as 1 throughout the journey and therefore the rate of change in temperature with respect to distance remains constant.
(d)
comparing the given function of the temperature with the general equation of a straight line:
We find that we have the slope of the equation as 1 throughout the journey and therefore the rate of change in temperature with respect to distance remains constant.