Recent content by mathpat

I'm seriously stumped when it comes to that part. I know I can't plug in that value in KE = 1/2 mv^2 because that would not give me a point.

whether the particle or object is moving. Wow ok lol. So the KE = 0 J at the top of the cliff.

Due to no resistance or friction from a free-fall position

I got 17640J for PE. And that would also equal the KE at the top of the cliff?

sure it's as follows: Sherlock, a cliff diver, is preparing for his final cliff jump into the ocean. He has a mass of 90 kg and stands on a cliff 20m above the sea. What is his PE and KE at the top of the cliff? At what point in his leap is his KE 450J? At what speed does he enter the water?

Homework Statement Given mass = 90kg distance = 20m above sea level. Find his potential and kinetic energy at the top of the cliff, at what point in his leap is his kinetic energy 450 J and at what speed does he enter the water? Homework Equations The Attempt at a Solution...

Thanks

I calculated 11 using that formula.

Yea I understand but when I use the formula i keep getting 5. I don't see where I'm going wrong.

I ended up with 5. Is that correct?

Homework Statement Given 7 f(x) dx= 8 0 7 f(x) dx = −3 1 evaluate the following. 1 f(x) dx 0 Homework Equations n/a The Attempt at a Solution I'm a little confused on how to approach this problem. Do i use the additive interval property of integrals?

Homework Statement Find the limit of s (n) as n →∞ s(n) = Ʃ n, i = 1. (10i - n) /(n^2) Homework Equations n/a The Attempt at a Solution I am completely stumped. I've read my textbook multiple times. I don't even know how to approach these type of problems. I am so confused...

Homework Statement Find derivative of abs (2x^3 + 8x^2 + 5x +1).Homework Equations The Attempt at a Solution A little confused on how the absolute value changes the method of deriving that equation. When I derive it normally, I get (6x^2+16x+5).

I see... so basically that means there is no point of inflection since I can not set that equation equal to zero and solve? By the way, I appreciate both of your help.

Homework Statement x^2 / x-1. Identify any asymptotes, extrema and points of inflection. Homework Equations The Attempt at a Solution I am stuck trying to derive my first derivative. My first derivative equals x(x-2)/(x-1)^2. I tried to use the quotient rule again using while...