JEE Main & Advanced
Physics
Motion in a Straight Line / सरल रेखा में गति
Question Bank
Topic Test - One Dimensional Motion
question_answer
Two buses moving in opposite directions with velocities of 16 m/s and 12 m/s have lengths of 6 m and 8 m respectively. The minimum road length required for overtaking is
A)14 m
B)28 m
C)22 m
D)20 m
Correct Answer:
A
Solution :
[a] Relative velocity of one with respect to the other is 28 m/s. \[{{x}_{1}}=\frac{2g}{K}\] Time taken to overtake \[=\frac{6+8}{28}s=\frac{1}{2}s\] In this time of (1/2)s the distance travelled by the two buses is 8 m and 6 m respectively Hence, Minimum road length required for overtaking is as shown in figure