Projectile Motion Help: Finding Maximum Height and Components

AI Thread Summary
The discussion focuses on solving a projectile motion problem involving a ball fired from a cannon, covering a distance of 235 meters in 47 seconds. The horizontal component of velocity is calculated to be 5 m/s. To find the vertical component and maximum height, the participant notes that at maximum height, the vertical velocity is zero and applies the appropriate kinematic equations. The maximum height is determined to be approximately 460.62 meters, although there is uncertainty regarding the accuracy of the vertical component value, which was suggested to be 0.02. The conversation emphasizes the importance of using the correct formulas and understanding the principles of projectile motion.
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A ball is fired out of a cannon and flies a total distance of 235 meters. The ball has a total flight time of 47s. What is the maximum height and the vertical and horizontal components?





Homework Statement



df= 235m
t= 47s

Homework Equations



d=vt
df=di+vit+(1/2)at^2
vf=vi+at
vf^2=vi^2+2a(df-di)

The Attempt at a Solution



d=vt
235=47v
v=5 (i don't know where to plug this number into. I could answer this problem if it gave me the trajectory angle, but it is unknown?)
 
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d=vt
235=47v
v=5

ok so u basically have the horizontal component here. if u put subscripts, it is dx = vx*ttot
therefor vx = 5m/s

ok next, you know at in projectile motion, at max height velocity = 0m/s right?
so vf = vi + at. t = 1/2 the total time because tup = tdown for projectile motion of the same height. remember this is all in the y component, so a would = 9.8m/s^2. plug and solve for vi ( which is also vy ) and u have ur y component.

next for maximum height you have found you vy component so what do u do? find another formula! what do we know again?? v at max height = 0m/s right? and you have vi sooooo which formula includes vf <--- v at max and vi AND DISTANCE IN THE Y DIRECTION? you already know. plug and chug and u shuld have it.
 
ok, so the horizontal component is 5. I didn't know where the 5 went.

and just checking my answers, did your vertical component equal .02

and also my max height was 460.62m.

thanks. :)
 
now looking at it, .02 doesn't look right?
 
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