Where Does a Projectile Fired from a Cliff Land?

AI Thread Summary
A projectile is launched from a 200-meter cliff with an initial velocity of 60 m/s at a 60-degree angle. The calculations for time of flight yield approximately 6.39 seconds. Using this time to calculate horizontal distance results in 191.7 meters, which contradicts the professor's expected distance of 0.41 kilometers. The discrepancy may arise from not accounting for the vertical component of the initial velocity. Further clarification on the vertical motion and its impact on horizontal distance is needed for accurate results.
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Homework Statement


A projectile is fired into the air from the top of a 200-m cliff above a valley. It's initial velocity is 60 m/s at 60 degrees above the horizontal. Where does the projectile land?


Homework Equations


delta x = intial velocity of x * t
delta y = -.5*g*t

The Attempt at a Solution


I solved for time and got 6.39s. When I put this back in for delta x I get 191.7m. However according to my professor the results should be .41km. Any ideas? Thanks!
 
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You have an initial speed in the y direction, 60sin60.
 
Thanks.
 

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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