Components of Projectile Motion

AI Thread Summary
A ball is thrown from a 19m building, landing 98.2m away, with gravity at 9.8 m/s². The initial velocity and the x and y components just before impact need to be calculated. The time of flight was determined to be approximately 1.97 seconds. The discussion emphasizes the need to consider both x and y components separately and eliminate time from the equations. The user successfully solved the problem but expressed difficulty in marking the thread as solved.
Londoncalling
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1. The problem

A ball is thrown from a 19m building and hits the ground 98.2 m away. Gravity = 9.8 m/s2. Find the intial velocity as well as x and y components of the ball just before it hits the ground

Homework Equations


I found time=1.969149822.
 
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Londoncalling said:
A ball is thrown from a 19m building and hits the ground 98.2 m away. Gravity = 9.8 m/s2. Find the intial velocity as well as x and y components of the ball just before it hits the ground
…
I found time=1.969149822.

Hi Londoncalling! Welcome to PF! :wink:

No, you've assumed the initial velocity is horizontal.

Call the initial speed v, at an angle θ to the horizontal.

Then do the equations for the x and y directions (separately), and eliminate t. :smile:
 
Thanks I figured it out! Now if only I could figure out how to mark this thread as solved...
 
Londoncalling said:
Thanks I figured it out! Now if only I could figure out how to mark this thread as solved...

oh, that facility stopped working ages ago! :rolleyes: :smile: :-p
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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