Can someone me with this? a 2.0-kg cart and a 3.0-kg cart collide on a low-friction track. the 3.0-kg cart is initially moving at 1.5m/s to the right, but after the collision it is moving at 5.5m/s to the right. after the collision, the 2.0-kg cart is moving to the right at 3.0m/s. if the direction from left to right is positive, what was the 2.0-kg carts initial velocity?

Initial velocity of cart 1 = 9 m/s to the right

Step-by-step explanation:

Here momentum is conserved.

Initial momentum = Final momentum.

Mass of cart 1, m₁ = 2 kg

Mass of cart 2, m₂ = 3 kg

Initial velocity of cart 2, v₂₁ = 1.5 m/s

Final velocity of cart 2, v₂₂ = 5.5 m/s

Final velocity of cart 1, v₁₂ = 3 m/s

We need to find initial velocity of cart 1, v₁₁

We have

        m₁v₁₁ + m₂v₂₁ =   m₁v₁₂ + m₂v₂₂

        2 x v₁₁ + 3 x 1.5 = 2 x 3 + 3 x 5.5

         2 x v₁₁ = 18

         v₁₁  = 9 m/s

Initial velocity of cart 1 = 9 m/s to the right

yes

step-by-step explanation:

yes

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.