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------------------------------------------------ If its initial velocity is 1.64 m/s in the positive x direction, how long, in seconds, does it take to move 6.87 m?

If an object has an initial velocity of 1.64 m/s and travels a distance of 6.87 meters, it would take approximately 4.19 seconds to cover that distance, assuming constant velocity and no external influences.

Explanation:

The physics here is fairly straightforward. This question involves constant velocity motion in a straight line (one-dimension). An object moving at constant velocity covers equal distances in equal time intervals. The total time it takes to move a given distance can be found using the equation t = d/v, where d is the distance traveled and v is the velocity.

Here, we are given an initial velocity (v) of 1.64 m/s and the object needs to move a distance (d) of 6.87 m. Substituting these values into the equation, we get: t = 6.87 m / 1.64 m/s = 4.19 seconds. Therefore, it would take around 4.19 seconds for the object to move 6.87 meters.

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