The initial velocity of the car is 6.68 m/s east.
The initial velocity of the car is determined by applying the principle of conservation of linear momentum.
m₁u₁ + m₂u₂ = m₁v₁+ m₂v₂
let east = positive direction
let west = negative direction
2100u₁ + 55(-0.5) = 2100(6.31) + 55(13.5)
2100u₁ - 27.5 = 13,993.5
2100u₁ = 14,021
u₁ = 14,021/2100
u₁ = 6.68 m/s east
Thus, the initial velocity of the car is 6.68 m/s east.
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