Solving for Building Height and Time in Horizontal Projectile Motion

AI Thread Summary
A ball is thrown horizontally from a building at 10.0 m/s and lands 20.0 m away, prompting a calculation of the building's height and the time taken to reach the ground. The horizontal motion is constant, allowing the time of flight to be determined from the horizontal distance and velocity. The vertical motion is influenced by gravity, with an acceleration of -9.8 m/s². The initial vertical velocity is zero, leading to the need for both vertical distance and time to be calculated. Clarification is sought on the correct application of the equations of motion, particularly regarding the horizontal and vertical components.
harujina
Messages
77
Reaction score
1

Homework Statement



A ball is thrown horizontally from the top of a building and lands 20.0m away from it. If the ball is initially thrown at a velocity of 10.0m/s, how high is the building? How long does it take for the ball to reach the ground?

Homework Equations



dv = Viv * t + 1/2a * t

The Attempt at a Solution



dh (horiz.distance) = 20.0m
Vh = 10.0m/s
Viv (vertical init. velocity) = 0m/s
a = -9.8m/s
dv (vert. distance) = ?
t = ?

I'm confused because I'm missing two of the variables which are needed in the equation that will solve this problem...? (dv and t)
 
Physics news on Phys.org
The horizontal velocity of the ball is fixed and constant during the whole time of flight. Knowing this, you can determine the time of flight.
 
Using the same equation as the one stated above? Because that one's giving me a totally wrong answer.
 
harujina said:
Using the same equation as the one stated above? Because that one's giving me a totally wrong answer.
Yes, the same equation, but of course in the horizontal direction a = 0. pls post your working.
 
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