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