Concept explainers
Two cars emerge side by side from a tunnel. Car A is traveling with speed of 60 km/h and has an acceleration of 40 km/h/min. Car B has a speed of 40 km/h and has an acceleration of 60 km/h/min. Which car is passing the other as they come out of the tunnel? Explain your reasoning.
The car which passes the other as they come out from the tunnel.
Answer to Problem 10Q
Solution:
Car A will come out first from the tunnel.
Explanation of Solution
Given:
Speed of car A is
Speed of car B is
Acceleration of car A is
Acceleration of car B is
Formula Used:
Final velocity can be calculated using the first equation of motion:
Where, u is the initial velocity, a is the acceleration and t is the time.
Calculation:
Consider time
Compare the final velocities in the time interval t.
Though car B has larger acceleration, but at
Conclusion:
Thus, the car A will initially come out of the tunnel as it is traveling at a speed of 60 km/hr.
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