How much farther will a car traveling at 100 km/s skid than the same car traveling at 50 km/s?
a) four times as far
b) the same distance
c) half as far
d) five times as far
e) twice as far

option A

Explanation:

given,

speed of car 1 = 100 Km/s

speed of car 2 =  50 Km/s

final speed = 0 Km/s

now,

skid mark when the car is moving at 100 Km/s

using equation of motion

v² = u² + 2 a s₁

0² = 100² -  2 a s₁

100² = 2 a s₁

..........(1)

now,

skid mark when the car is moving at 50 Km/s

using equation of motion

v² = u² + 2 a s₂

0² = 50² -  2 a s₂

50² = 2 a s₂

..........(2)

dividing equation (1)/ (2)

   s₁ = 4 s₂

Hence, the skid mark for 100 Km/s is four time as far as 50 Km/s

The correct answer is option A