Projectile Motion (Baseball Question)

AI Thread Summary
The discussion revolves around solving a projectile motion problem involving a baseball thrown horizontally at 36.5 m/s from a distance of 18 meters. The key steps involve calculating the time it takes for the ball to travel horizontally using the formula v = d/t, which yields approximately 0.493 seconds. Then, the vertical drop due to gravity is determined using the acceleration due to gravity (g = 9.81 m/s²) to find the final vertical velocity. The average vertical velocity is calculated, leading to the total drop distance of approximately 1.191 meters. The problem is successfully resolved by applying the SUVAT equations and breaking the motion into horizontal and vertical components.
skateraXIX
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So I've been having trouble with a problem dealing with projectile motion.

Here's the question:

How much will a ball drop if a pitcher throws the ball horizontally with a speed of 36.5 m/s, from 18m away? (Assuming no spin has been imparted on the ball.)

I'm not sure where to even start at and am really stumped.
 
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You need to use the SUVAT equations (google them). For projectile motion question you can break it into 2 parts horizontal and vertical. The horizontal time needs to be calculated using v=s/t, then you need to work out how much gravity pulls it down in that time. g = 9.81ms^-2.
 
Awesome I figured it out. Thanks.

v=d/t
36.5=18/t
Divide 18 by 36.5= 0.493

(v1+v2)/2= (0+4.831)/2= 2.416

Here's how I got the v1 and v2:
v1= 0
v2= g x t
v2= 9.8m/s x 0.493= 4.831

Finally:

d=v x t
d=2.416 x 0.493
d= 1.191 m
 
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