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Vector-valued function word problem

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 theta)t i + [h =(Vo sin theta)t - 1/2 gt^2] j

Please show me how to do this problem and what the correct answer is.

Solution Summary

A vector-valued function word problem is solved. The solution is detailed and well presented.