Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. a toboggan with two people on it weighs 300 lb. it

A toboggan with two people on it weighs 300 lb. It starts from rest down a...

90.2K

Verified Solution

Question

Advance Math

A toboggan with two people on it weighs 300 lb. It starts fromrest down a slope, 1/4 mile long, from a height 200 ft abovehorizontal level. The coefficient of sliding friction is 3/100 andthe force of the wind resistance is proportional to the square ofthe velocity. When the velocity is 30 ft/sec, this force is 6lb.

(a) Find the velocity of the toboggan as a function of thedistance and of the time.

(b) With what velocity will the toboggan reach the bottom of theslide?

(c) When will it reach the bottom?

(d) What would its terminal velocity be if the slide wereinfinite in length?

Answers:

(a) v= 74.1 (e^(0,105t)-1)/(e^(0.105t)+1),v^2=5484(1-e^(-0.0014s)

(b) 68 ft/sec

(c) 30 sec, approx.

(d) 74.1 ft/sec

I'm having trouble solving for v originally. Any help would bemuch appreciated.

Answer & Explanation Solved by verified expert
4.0 Ratings (733 Votes)
I have a strong inclination that there cannot be    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Test the claim that the proportion of men who own cats is smaller than the proportion...

Basic Math
Q

How would I describe the development of handedness of a child at age 6 months to...

Psychology
Q

Briefly explain each level of Urie Bronfenbrenner's theory and how the theory explains behavior development. Explain...

Psychology
Q

Alternating current machines

Electrical Engineering
Q

Personal Finance For a $27,000 student loan with a 6% APR, how much of the payment will...

Finance
Q

a Prove that 22 b Prove that Span 0 0 Span 022 in R Span...

Basic Math
Q

Suppose that you have $9,000 in a rather risky investment recommended by your financial advisor....

Basic Math
Q

According to a Pew Research Center poll conducted last year 63 of American adults say...

Statistics
Q

3 students from an astronomy class Student Number of Absences Final Grade percent 79 78...

Algebra
Q

1 Suzette ran and biked for a total of 44 75 mi in 4 h...

Algebra
Q

Part B (3 Marks) XYZ Ltd has the selected transactions in March as follows: March...

Accounting
Q

question 22 question 23 question 24 ...

Accounting