Two cars A and B are in the same direction with velocities v1 and v2 (v1>v2). When the car A is at a distance d behind the car B, the driver of the car A applies the brake producing uniform retardation a, There will be no collision when

March 29, 2022

by Ezee_Notes

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Physics Problems

Question : Two cars A and B are in the same direction with velocities v1 and v2 (v1>v2). When the car A is at a distance d behind the car B, the driver of the car A applies the brake producing uniform retardation a, There will be no collision when

(a) $d <\dfrac{\left( V_{1}-V_{2}\right) }{2a}$

(b) $d >\dfrac{\left( V_{1}^{2}-V_{2}^{2}\right) }{2a}$

(c) $d >\dfrac{\left( V_{1}-V_{2}\right) ^{2}}{2a}$

(d) $d <\dfrac{V_{1}^{2}-V_{2}^{2}}{2a}$

Answer : The Correct option is (c)

Solution :

Two cars A and B are in the same direction with velocities v1 and v2 (v1>v2)