Toy car w travels across a horizontal surface with an acceleration of aw after starting from rest. toy car z travels across the same surface toward car w with an acceleration of az after starting from rest. car w is separated from car z by a distance d. which of the following pairs of equations could be used to determine the location on the horizontal surface where the two cars will meet, and why?

When the cars meet, the position on the horizontal surface is the difference in the distance traveled by each car

The given parameters include;

acceleration of the Toy car W =

acceleration of Toy car Z,

distance between both cars; = d

the initial velocity of both car,

The distance traveled by Toy car W;

The distance traveled by Toy car Z;

When the two cars meet, let the position on the horizontal = X;

Thus, when the cars meet, the position on the horizontal surface is the difference in the distance traveled by each car  

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x = ½ aw t²

x = d − ½ az t²

Explanation:

The position of each car at time t is:

x = x₀ + v₀ t + ½ at²

For car W:

x = 0 + (0) t + ½ aw t²

x = ½ aw t²

For car Z:

x = d + (0) t + ½ (-az) t²

x = d − ½ az t²

Solving the system of equations for x will give us the location the cars meet (relative to car W's starting point).

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