Vector-valued function word problem


Assignment:

A baseball is hit from a height of 3 feet with an initial speed of 120 feet per second at an angle of 30 degrees above the horizon. Find the vector-valued function describing the position of the ball t seconds after it is hit. To be a home run, the ball must clear a wall 385 feet away and 6 feet tall. Determine if this is a home run.

The vector-valued function we use is:

vector r(t)= (Vo cos θ)t i + [h =(Vo sin θ)t - 1/2 gt^2] j

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Mathematics: Vector-valued function word problem
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