Two-dimensional motion Consider the motion of the following objects. Assume the x-axis is horizontal, the positive y-axis is vertical, the ground is horizontal, and only the gravitational force acts on the object.a. Find the velocity and position vectors, for t ≥ 0.b. Graph the trajectory.c. Determine the time of flight and range of the object.d. Determine the maximum height of the object. A soccer ball has an initial position (in m) of ⟨x0, y0⟩ = ⟨0, 0⟩when it is kicked with an initial velocity of ⟨u0, v0⟩ = ⟨30, 6⟩m/s.
Two-dimensional motion Consider the motion of the following objects. Assume the x-axis is horizontal, the positive y-axis is vertical, the ground is horizontal, and only the gravitational force acts on the object.a. Find the velocity and position vectors, for t ≥ 0.b. Graph the trajectory.c. Determine the time of flight and range of the object.d. Determine the maximum height of the object. A soccer ball has an initial position (in m) of ⟨x0, y0⟩ = ⟨0, 0⟩when it is kicked with an initial velocity of ⟨u0, v0⟩ = ⟨30, 6⟩m/s.
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Two-dimensional motion Consider the motion of the following objects. Assume the x-axis is horizontal, the positive y-axis is vertical, the ground is horizontal, and only the gravitational force acts on the object.
a. Find the velocity and position vectors, for t ≥ 0.
b. Graph the trajectory.
c. Determine the time of flight and range of the object.
d. Determine the maximum height of the object.
A soccer ball has an initial position (in m) of ⟨x0, y0⟩ = ⟨0, 0⟩
when it is kicked with an initial velocity of ⟨u0, v0⟩ = ⟨30, 6⟩m/s.
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