Remember that when an object is subjected to gravity, its position s above the ground is given by the equation s=-16f* + vof+ s . With that in mind, we can solve some vector motion problems that we did in precalculus using parametric equations. Example 5) A baseball is hit 3 feet above the ground at 100 feet/ second at an angle of 450 to the ground. Find the maximum height of the ball and determine if it will clear a 12 foot fence located 300 feet from home plate. You can express the horizontal component of the ball vector as ... You can express the vertical component of the ball vector as (remember the initial height and gravity) The ball reaches maximum height when the derivative of the vertical component of the ball is zero. When is that? So how high does the ball reach? The ball is 300 feet when the horizontal component = 300. When does that happen? So how high is the ball at 300 feet? Is it a home run