7. An object moves along a plane such that the x- and y-coordinates of its
velocity are defined by the functions vx (t) = 3t^2 - 3 and vy (t) = 2t^2 - 8. At what
time is the object's velocity purely horizontal?

At the time, when the velocity of the object is purely horizontal, the y-coordinate of the velocity must be equal to zero. Therefore, by setting the y-coordinate of the velocity to zero, we can find out the time at which the velocity of the object is purely horizontal.

[tex]v_y(t)=2t^2-8 = 0\\2t^2 = 8\\t^2 = 4\\[/tex]

t = 2 s

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https://brainly.com/question/3368?referrer=searchResults

The attached picture shows velocity components.

7. An object moves along a plane such that the x- and y-coordinates of its velocity are defined by the functions vx (t) = 3t^2 - 3 and vy (t) = 2t^2 - 8. At what time is the object's velocity purely horizontal?

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7. An object moves along a plane such that the x- and y-coordinates of its
velocity are defined by the functions vx (t) = 3t^2 - 3 and vy (t) = 2t^2 - 8. At what
time is the object's velocity purely horizontal?