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

Question Description

I’m trying to study for my Physics course and I need some help to understand this question.

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?

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

Final 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.


Prashant S (1995)
Duke University

Anonymous
Top quality work from this tutor! I’ll be back!

Anonymous
It’s my second time using SP and the work has been great back to back :) The one and only resource on the Interwebs for the work that needs to be done!

Anonymous
Thanks, good work

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors