Calculate Horizontal Range of Projectile - Unit Vector Velocity

AI Thread Summary
The discussion revolves around calculating the horizontal range of a projectile given its velocity at a specific time. The initial velocity is provided as a vector (9.0i + 4.5j) m/s, and the calculation attempts to use the range formula. However, the initial calculation of 8.3 m is deemed incorrect due to unit errors and not considering the 2.9 seconds elapsed. Participants emphasize the importance of correctly applying the time factor and ensuring unit consistency in the calculations. Accurate computation of projectile motion requires careful attention to these details.
George3
Messages
31
Reaction score
0

Homework Statement


Exactly 2.9 seconds after a projectile is fired it has the velocity (9.0i +4.5j) m/s.
What is the horizontal range of the projectile.


Homework Equations





The Attempt at a Solution


Range = [((9.0i^2 + 4.5j^2)^1/2)^2 x sin2(arctan(4.5/9))]/ 9.8 m/s/s
Range = 8.3 m but this is incorrect.
 
Physics news on Phys.org
Of course that's not correct. Look at the units, for one thing. For another, you aren't accounting for that 2.9 seconds.
 
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