Applications-Of-Derivatives Question 435
Question: Two cyclists start from the junction of two perpendicular roads, their velocities being 3 v m/ minute and 4 v m/minute. The rate at which the two cyclists are separating is
Options:
A) $ \frac{7}{2}v $ m/minute
B) 5 v m/minute
C) v m/minute
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
[b] At time t, the distance z between the cyclists is given by $ z^{2}={{(3vt)}^{2}}+{{(4vt)}^{2}} $
$ \therefore ,z=5vt\Rightarrow \frac{dz}{dt}=5v $
BETA
