High school AP physics?

Question

a pitcher throws a baseball at a speed of 90 mi/h towards home plate, which is located 60 ft away. How far has the ball dropped when it reaches the plate? Assume the ball leaves the pitcher's hand traveling horizontally.

ignore air resistance

please explain how you got to the answer

thank you

Answer 1

first put 90 mi/h into ft/sec

(90 mi/hr)(1 hr/ 3600 sec)(5280 ft/ mi) = 132 ft/sec

now, how long does the ball take to cross home plate?

60 ft / (132 ft/sec) = .45 sec

how far will a ball drop in .45 sec?  gravity accelerates the ball at 32.2 feet / second^2.

distance = (1/2)gt^2        [remember newton]

(.5)(32 ft/sec^2)(.45^2) = 3.2 feet