.Solving for Initial Velocity: Kinematic Equations

AI Thread Summary
To find the initial velocity (Vo) required for an object to hit a target at a specific angle, one can derive the equation Vo = √((xa)/(sin(2θ))) from kinematic equations. This involves using the relationships Sin(θ) = Voy/Vo and Cos(θ) = Vox/Vo to express the components of velocity. The discussion highlights confusion around these derivations and emphasizes the need for clarity in applying kinematic principles. Understanding the relationships between the angles and velocity components is crucial for accurate calculations. Mastering these concepts is essential for successfully completing the formal lab report.
brockp949
Messages
2
Reaction score
0
how to get to Vo = the square root of ((xa)/(sin2theta))
from the kinematic equations or form SinTheta =Voy/Vo CosTheta =Vox/Vo

just really confused. I am writing a formal lab for my final and what I am asking is find the initial velocity it would take for the object to hit the target as a given angel
 
Physics news on Phys.org
i have tried to derive the kinematics formulas as well as the sectors for the initial velocity
 
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...
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...
Back
Top