Taylor P.

asked • 05/22/17

label and write sentence explaining final solution

        __
v=8√h
 
          __
90=8√h
 
h=2025/16
 
Please label this final solution and write sentence explaining final solution

Arturo O.

What is the problem whose solution you seek?
Report

05/22/17

Taylor P.

What is the maximum velocity of the Magnum XL-200 roller coaster in Sandusky, Ohio, when height is approximately 187 feet? Show all work using the equation editor and label your final solution. Round your final answer to the nearest hundredth, but remember you should NOT round in the middle of the question. Write a sentence explaining your answer.
 
This is the problem. I worked it correctly but I need to label final solution and write a sentence explaining answer
Report

05/22/17

1 Expert Answer

By:

Arturo O. answered • 05/22/17

Tutor
5.0 (66)

Experienced Physics Teacher for Physics Tutoring

See tutors like this
See tutors like this
Maximum speed occurs when it has reached the bottom, where all potential energy due to its elevation is converted to kinetic energy.  Assuming it fell from a maximum height of h,
 
mgh = (1/2)mv2
 
gh = v2/2
 
v = √(2gh) = √[(2)(32 ft/s2)(187 ft)] ≅ 109.40 ft/s
 
vmax = 109.40 ft/s
Upvote • 0 Downvote
More
Report

Taylor P.

I'm sorry I sent you the wrong problem that goes with the answer I first posted. I actually needed that one as well though. If you don't mind can you help me finish this one?
 
What is the height of the coaster when the velocity is 90 ft/sec? Show all work using the equation editor and label your final solution. Round your final answer to the nearest hundredth, but remember you should NOT round in the middle of the question. Write a sentence explaining your answer.
Report

05/22/17

Arturo O.

Use the same equation.  This time the kinetic energy at the bottom is fully converted to potential energy at the top.
 
mv2/2 = mgh
 
h = v2 / (2g) = (90 ft/s)2 / [2(32 ft/s2)] ≅ 126.56 ft
 
 
Report

05/22/17

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.