I do not know how to set up the problem to solve for height.

User Generated

Culfvpf2014

Science

Description

A ball is thrown up at initial speed of 25 m/s at the same time a ball is dropped from a building 14 m high. when will they both be the same height?

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

One ball is thrown vertically at 25 m/s.

The other ball is let go at a height of 14 m, at a speed of 0 m/s.

We need to realize that gravity will increase the speed of the ball that is dropped and gravity will decrease the speed of the ball that goes up.

Imagine the balls meet at a height h.

Then the ball that is thrown up travels:

h=vot-1/2at^2

h=25t-1/2gt^2 EQN 1

During this same amount of time, t,

the ball falling will travel:

h-15=vot+1/2at^2

h-15=0+1/2(-g)^2

h=15-1/2gt^2 EQN 2

Substitute for h:

25t-1/2gt^2=15-1/2gt^2

25t=15

t=0.6 seconds 

This is the correct answer. I guarantee it.

I can solve many more problems like this. Let me know when you need help for these types of problems.



Anonymous
Great! Studypool always delivers quality work.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags