I am terrible at Algebra and am in a huge hurry! Please help!

Question

mathstudent55 · Answer

It's not easy to help if we don't see a problem.

anonymous · Answer

A pitch may result in a strike if its height is between 2.5 and 5 feet when it crosses home plate. This range is called the batter's strike zone. The pitcher throws the ball from a height of 6 feet with an initial vertical velocity of 5 ft/s and a horizontal velocity of 116 ft/s. Can this pitch result in a strike?

anonymous · Answer

@mathstudent55  I was getting to it.

anonymous · Answer

Wait, from what? It's not a test, though.

mathstudent55 · Answer

These are the equations of motion in the x and y directions.

$x = x_o + v_{xo} t + \dfrac{1}{2} a_x t^2 $

$y = y_o + v_{yo} t + \dfrac{1}{2} a_y t^2 $

mathstudent55 · Answer

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mathstudent55 · Answer

This is all the information we have to be plugged in the equation of motion in the x direction. From here you find how long it takes fo the ball to travel 60.5 ft horizontally.:

$x = 60.5~ft$
$x_o = 0 $
$v_{xo} = 116 \frac{ft}{s} $
$a_x = 0 $

mathstudent55 · Answer

Once you know the time, you use the equation of motion in the y direction to see if in t time, the ball travels vertically down the correct amount to be 1 to 3.5 ft lower than it satrted at.