Kinematics Question 320

Question: Two cars are moving in the same direction with the same speed 30 km/hr. They are separated by a distance of 5 km, the speed of a car moving in the opposite direction if it meets these two cars at an interval of 4 minutes, will be

Options:

A) 40 km/hr

B) 45 km/hr

C) 30 km/hr

D) 15 km/hr

Show Answer

Answer:

Correct Answer: B

Solution:

The two car (say A and B) are moving with same velocity, the relative velocity of one (say B) with respect to the other $ A,{{\overrightarrow{v}} _{BA}}={{\overrightarrow{v}} _{B}}-{{\overrightarrow{v}} _{A}}=v-v=0 $

So the relative separation between them (= 5 km) always remains the same.

Now if the velocity of car (say C) moving in opposite direction to A and B, it’s $ {{\overrightarrow{v}} _{C}} $ relative to ground then the velocity of car C relative to A and B will be $ {{\overrightarrow{v}} _{rel.}}={{\overrightarrow{v}} _{C}}-\overrightarrow{v} $ But as $ \overrightarrow{v} $ it’s opposite to vC

So $ v _{rel}=v _{c}-(-30)=(v _{C}+30)km/hr. $

So, the time taken by it to cross the cars A and B $ t=\frac{d}{v _{rel}}\Rightarrow \frac{4}{60}=\frac{5}{v _{C}+30} $
$ \Rightarrow v _{C}=45km/hr. $



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक