Is this the right equation to use?

AI Thread Summary
To solve for the time it takes for a cannonball to hit the ground from a height h, the correct equation incorporates the initial height: y = y0 + v0sin(φ)t - 1/2gt^2. The initial height y0 should be set to h, leading to the equation h = v0sin(φ)t - 1/2gt^2. Additionally, the vertical velocity when the ball hits the ground can be expressed as vy = v0sin(φ) - gt. Properly accounting for the initial height is crucial for accurate calculations. The discussion emphasizes the importance of integrating initial height into the projectile motion equations.
magnifik
Messages
350
Reaction score
0

Homework Statement


A cannon ball is fired with speed v0 at an angle phi above the horizontal. The launch point is at height h above the ground. Find the time to hit the ground, and the magnitude of the velocity when the ball hits the ground (in terms of v0, g, h, \phi)


Homework Equations


y=v0sin(\phi)t - 1/2gt^2
vy=v0sin(\phi) - gt


The Attempt at a Solution


how do i account for initial height?
 
Physics news on Phys.org
magnifik said:

Homework Equations


y=v0sin(\phi)t - 1/2gt^2
vy=v0sin(\phi) - gt


The Attempt at a Solution


how do i account for initial height?

y=y0+v0sin(φ)t - 1/2gt2
 
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