How far from the base of the building does the ball hit the ground?
A ball is thrown horizontally from the top of a building that is 13 meters high, with an initial speed of 5.0 m/s. I would like to know how far from the base of the building the ball will land on the ground. I understand that the equation for vertical displacement is Δy = 0.5gt², but I’m struggling with the application of this formula and the overall calculations. Could someone please guide me through the solution step by step? Thank you!
3 Answers
To find out how far something travels in the x direction, we need to know how long it is going for. The only way to do this is to figure out how long it will take to drop off a 13m building.
For that first step, to find the time, we will use the kinematics equation:
h = .5gt^2 << you had that part, good job
Using algebra, we get that:
t = √((2h) / g)
Plug in our values:
t = √(26 / 10) = √2.6 = 1.6s (roughly)
Now, with 1.6 seconds with which to fall, we use the equation:
d = vt
Plug in our values:
d = (5)(1.6) = 8m
Related Questions
"If this same quantity of energy were transferred to 2.5 kg of water at its boiling point, what fraction of the water wo...
Have you ever noticed how the rear wheel of a bike seems to follow the front wheel closely? Why does this happen, and is...
Find the circumference of a circle with a radius of 5 inches. Please express your answer in terms of pi.
How tall is 77 inches when converted to feet?
Please identify each of the following as measurements: Length Area Volume Mass Density Time Temperature...
In circle O, ST is a diameter. What is the value of x if (2x + 8) equals one of the following options: 22.0, 25.0, 25.4,...
A rescue pilot needs to drop a survival kit while flying at an altitude of 2,000.0 meters with a forward velocity of 100...
Today's CPUs operate at speeds measured in gigahertz rather than kilohertz. Is this statement true or false?
I have a question regarding torque in a magnetism context. I understand that the equation τ = IABsin(θ) will be relevant...
Could you please help me find the cube roots of the complex number represented in polar form as 8(cos 216° + i sin 216°)...