Question

# The temperature at $$12$$ noon was $$10^o$$C above zero. If it decreases at the rate of $$2^o$$C per hour until midnight, at what time would the temperature be $$8^o$$C below zero? What would be the temperature at midpoint?

Solution

## Given, $$12$$ noon temperature was $${10}^{o}C$$ above zero.$$T(12pm)={10}^{o}C$$It decreases at the rate of $${2}^{o}C$$ per hr until $$12\ am$$$$\cfrac{dT}{dt}$$ (12pm to 12am) $$=-{2}^{o}C$$$$T(t)=-2t+{T}_{0}$$$${T}_{0}={10}^{o}C$$$$-{8}^{o}=-2t+{10}^{o}$$$$2t={18}^{o}$$$$t=9$$It means at 9 pm, the temperature is $$-{8}^{o}C$$MathematicsNCERTStandard VII

Suggest Corrections

0

Similar questions
View More

Same exercise questions
View More

People also searched for
View More