At t = 0 a particle leaves the origin with a velocity of 6 m/s in the positive y direction. Its acceleration is given by $\vec{a}$ = 2î - 3ĵ m/s². The x and y coordinates of the particle at the instant the particle reaches maximum y coordinate are
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Question

At t = 0 a particle leaves the origin with a velocity of 6 m/s in the positive y direction. Its acceleration is given by $\vec{a}$ = 2î - 3ĵ m/s². The x and y coordinates of the particle at the instant the particle reaches maximum y coordinate are

Options

G1 Physics · Accepted Answer

vᵧ = 6 - 3t. Maximum y occurs when vᵧ = 0, giving t = 2 s. Then x = ½(2)(2²) = 4 m and y = 6(2) - ½(3)(2²) = 6 m. Hence the coordinates are (4, 6), option B.

At t = 0 a particle leaves the origin with a velocity of 6 m/s in the positive y direction. Its acceleration is given by a ⃗ \vec{a} a = 2î - 3ĵ m/s². The x and y coordinates of the particle at the instant the particle reaches maximum y coordinate are