After what time interval does the ball strike the ground

AI Thread Summary
A ball is thrown downward from a height of 30m with an initial speed of 8m/s, and the acceleration due to gravity is -9.8m/s². To determine the time it takes for the ball to strike the ground, the appropriate equation is Yf = Yi + Vi(t) + 1/2g(t²), while ensuring the correct signs for direction are used. The discussion also briefly touches on a separate problem involving a horse moving at 10m/s, but confusion arises regarding the context of the "limb" referenced. The recommended approach for the horse's problem is to use a distance formula, as time is not provided but distance is. Overall, clarity in problem statements is emphasized to avoid confusion in calculations.
012435
Messages
8
Reaction score
0

Homework Statement


A ball is thrown downward with initial speed of 8m/s from a height of 30m.

Homework Equations


\After what time interval does the ball strike the ground



The Attempt at a Solution



acceleration will equal -9.8m/s^2 because it's free fall
would i use equation V=Vo-gt










constant speed of a horse is 10m/s. distance from limb to saddle is 3m

A) find horizontal distance between saddle and limb?
B) for what time interval is he in the air?

Attempted solution:
X=Xo+Vo(t)+V2(a)(t^2)
what equation do you use to find the time ... Yf=Yi+Vi(t)+1/2g(t^2) and rearange it to
 
Physics news on Phys.org
I'm confused. There seems to be two questions... one about a ball... about about a horse and saddle?
 
sorry. it's two different problems
 
012435 said:
sorry. it's two different problems

This is the right equation to use for the first problem:

Yf=Yi+Vi(t)+1/2g(t^2)

but you need to be careful about directions and signs... you've taken downwards as positive here...
 
012435 said:

Homework Statement


A ball is thrown downward with initial speed of 8m/s from a height of 30m.

Homework Equations


\After what time interval does the ball strike the ground



The Attempt at a Solution



acceleration will equal -9.8m/s^2 because it's free fall
would i use equation V=Vo-gt
Since you are NOT given the time but ARE given a distance, it would be better to use a distance formula: d= (1/2)gt2+ v0t. Donht forget that v0 is negative.








constant speed of a horse is 10m/s. distance from limb to saddle is 3m

A) find horizontal distance between saddle and limb?
B) for what time interval is he in the air?

Attempted solution:
X=Xo+Vo(t)+V2(a)(t^2)
what equation do you use to find the time ... Yf=Yi+Vi(t)+1/2g(t^2) and rearange it to
This makes no sense to me at all. What does the "distance from saddle to limb" . At some paces some horses can go 10m/s while always having at least one foot on the ground- they are never "in the air".

And what "limb"? A foreleg? Or is this a limb of a tree? Did you leave something out? is the horse jumping over a limb?
 
HallsofIvy said:
Since you are NOT given the time but ARE given a distance, it would be better to use a distance formula: d= (1/2)gt2+ v0t. Donht forget that v0 is negative.

yea i would use this formula
 
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