a pitch thrown horizontally at 147.84ft/s how far would it fall vertically when it reached the plate 60ft away

Question

I dont know how to do this problem without an angle given, please show your work so I know how to do it for future reference, thankyou!

Answer 1

The angle is given. Horizontally means with an angle of 0 degrees elevation.

You can find how long the ball takes to travel 60 ft horizontally (60/147.84 seconds), so, knowing the acceleration due to gravity (which you will have been given), you can calculate how far it must fall in that time.

t = 60/147.84 = 0.405844156

distance d covered by falling body in t seconds = ½gt²

g = 32.174 ft/sec²

d = 0.5 * 32.174 * 0.405844156 * 0.405844156 = 2.649681386 ft

Answer 2

An angle is not needed to find this answer. Neglecting air resistance, the time to travel horizontally will equal the time to fall vertically.
Therefore, the time to reach the plate can be found like this:time =distance/rate= 60ft/147.84 ft/s=0.4 s.

The distance an object falls can be found using the equation distance = 0.5(g)t^2= 0.5(32 ft/s^2)(0.4s)^2= (16 ft/s^2)(0.16 s^2)=2.6 feet.