Enable contrast version

Tutor profile: Ricardo U.

Inactive
Ricardo U.
Process Engineer and currently pursuing a Master's Degree in engineering
Tutor Satisfaction Guarantee

Questions

Subject:Basic Math

TutorMe
Question:

You are father of three, and you forget things from time to time. One day, you forgot the age of your childrens so you asked them how old they were. They were not happy with that. The son #1 then replied: "In 15 years, the sum of our ages will be twice your current age" You did know you were 40 years old at that time. However you could not answer the question. At the end, you remembered that the kids are triplets! So, how old were they when you asked them?

Inactive
Ricardo U.

Subject:Calculus

TutorMe
Question:

You and your friends are playing in a vacuum chamber throwing rocks (you are equipped with a nice oxygen system to keep breathing). Since you and your friends were studying basic kinematics, you want to know the following: if two of you throw a rock in the same direction, what conditions should be held so that the maximum altitude of each rock is attained at the same time?

Inactive
Ricardo U.

From your physics book, you know the formulae of parabolic movement. Since you are in a vacuum chamber, air resistance is neglected. The formulae is: h(t) = Vo*t*sin(a) - (1/2)*g*t^2; Where t= time; h = height of the rock at time t; Vo = initial velocity; a: launch angle; g: gravitational acceleration. Since a maximum height is wanted, one should do: dh(t)/dt = 0 If that is performed on the kinematic expression, we then have: dh(t)/dt = Vo*sin(a) - g*t (please not that Vo and sin(a) are constant values for a given launch. g is always a constant). 0 = Vo*sin(a)-g*t So the needed time for the rock to reach its maximum height is t = Vo*sin(a)/g Therefore, for two rocks to achieve their maximum height at the same time, their Vo*sin(a) product should be the same. Note that absolute values of Vo and sin(a) are not relevant, just the value of their product!

Subject:Algebra

TutorMe
Question:

Imagine you have twin brothers and that you are rich. Both brothers ask you, for separate, to lend them some money. You are not sure if they will pay you back, so you have to find a way to see if you can trust them. You asked them for a mathematical formulae that allows you to estimate the time it will take each of them to pay the loan. You then have a small conversation with each twin while the other awaits outside the room. You ask the first tween for the formulae and he hands you the following expression: (t-sqrt(a))(t+sqrt(a)) = 0 "Just solve for the time t. It will depend on how much money you are willing to lend me, that's the a". You then ask the second tween for the formulae. He hands you exactly the same thing: (t-sqrt(a))(t+sqrt(a)) = 0 "Just solve for the time t. It will depend on how much money you are willing to lend me, that's the a". What question would you ask to the second twin that might allow you to conclude if they are reliable?

Inactive
Ricardo U.

The question would be: if I lend same amount of money to you and your brother, would you pay at the same time? There are three possible answers to this: a) Yes, we will pay at the same time. b) I have no idea! c) No, we will not pay you at the same time. Since the formulae both twins handed you is a quadratic equation, it has two solutions: t = sqrt(a) and -t = sqrt(a). Since t represents the time, t > 0; a is money, hence a >0. Therefore, -t = sqrt(a) is not a valid solution. Answer (b) suggests that some of them could pay you in a negative time, i.e., never paying you back. The answer (c) confirms that one of them is planning to pay you in a negative time, that is, never paying you. Therefore, with this question, you could be more confident if the second twin answers the option (a).

Contact tutor

Send a message explaining your
needs and Ricardo will reply soon.
Contact Ricardo

Start Lesson

FAQs

What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Lesson" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.
BEST IN CLASS SINCE 2015
TutorMe homepage