Question

Solve the following exercise by applying differential equations: A person weighing 67 kg falls from a...

Solve the following exercise by applying differential equations:
A person weighing 67 kg falls from a building measuring 40m with an initial speed of 3m / sec.
Let's suppose:
The air resistance is proportional to the speed of the body.
The limit speed at which it can fall is 40 m / sec.
Find:
a) the expression of the velocity of the object in a time t,
b) the expression for the position of the body at a time t
c) the speed after 8 seconds.

Homework Answers

Answer #1

Solve the following exercise by applying differential equations:

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Application of the first order differential equations, from "Differential Equations", by Isabel Carmona. 2. A body...
Application of the first order differential equations, from "Differential Equations", by Isabel Carmona. 2. A body with a mass of 9.7 kg is released from a height of 300 m without initial speed. The body finds an air resistance proportional to its speed. If the speed limit must be 95 m/sec... Find A) body speed at a time t B) the position of the body at a time t The correct answers are: A) v = 95 (1-e(- t /...
Application of first order differential equations. 1. A body of mass 14.7 kg is released with...
Application of first order differential equations. 1. A body of mass 14.7 kg is released with an initial speed of 0.5 m/sec and finds a force due to the air resistance given by 8v2. Find the speed for time = root of 2 seconds (t =√2 seconds) The correct answer is = 4,23m/sec. Please help me solving this step by step, because I'm studying for an important test tomorrow. Thank you so much.
USING DIFFERENTIAL EQUATIONS To supply an isolated person on an island, they throw a bag of...
USING DIFFERENTIAL EQUATIONS To supply an isolated person on an island, they throw a bag of food weighing 20 kg from an airplane 1,000 m above the ground. Apart from the influence of gravity, the bag is subjected to an air resistance which is proportional to the speed of the object, with a proportionality constant equal to 20 kg / s. Determine the equation of movement of the bag. How long will the bag take to touch the ground?
A sack of potatoes weighing 13.1-kg falls from a very tall building. At a certain point...
A sack of potatoes weighing 13.1-kg falls from a very tall building. At a certain point at the motion downwards, its measured acceleration is 3.7 m/s2 and its velocity is 70.4 m/s. Assuming that the magnitude of the drag force due to air resistance is proportional to the square of its speed, What is its terminal speed? Select one: a. 89.20 m/s b. 70.40 m/s c. 10.63 m/s d. The sack keeps accelerating until it reaches the bottom