Purchase Solution

Calculating Velocity and Distance

Not what you're looking for?

Ask Custom Question

I'm having trouble with this word problem. Please show all work.

8. Ignoring resistance, a sailboat starting from rest accelerates at a rate proportional to the difference between the velocities of the wind and the boat.

(a) The wind is blowing at 20 knots, and after 1 half-hour the boat is moving at 10 knots. Write the velocity as a function of time .

(b) Use the result of part (a) to write the distance traveled by the boat as a function of time.

Attachments
Purchase this Solution
Solution Summary

The expert calculates velocity and distance.

Solution Preview

8. Ignoring resistance, a sailboat starting from rest accelerates at a rate proportional to the difference between the velocities of the wind and the boat.
Since it's proportional, then we have:
(dv_b)/dt=a(v_w-v_b )
Here a is a constant of proportionality. If the acceleration is directly proportional, then a =1, which is what we'll assume. vw and vb are the velocities of the wind and boat respectively.

(a) The wind is blowing at 20 knots, and after 1 half-hour the boat is moving at 10 knots. Write the velocity as a ...

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • Basic Physics - Speed; Velocity; Distance

    36080 Basic Physics - Speed; Velocity; Distance Attached: physics1: Calculating speed, velocity physics2: Calculating height, slope, distance physics3: 1 question using velocity/speed to calcuate for distance See attachments.

  • Calculating acceleration and distance of a car

    (a) Let the initial velocity be u and final velocity be v.

  • Bicycle physics

    The solution assists with calculating the distance traveled by bicycle wheel and pedals.

  • Calculating horizontal distance

    108587 Calculating horizontal distance A shotputter throws the shot (mass = 7.3 kg) with an initial speed of 14m/s at a 40* angle to the horizontal.

  • Displacement of a hockey puck

    Thanks We know that S=V*t+a**t/2 where a is the acceleration rate and S is the distance Now plug the numbers, S=18*1.5+(-0.95)*1.5*1.5/2 =25.93 (m) =26 (m) This solution provides a brief equation for calculating distance using velocity, acceleration

  • Estimation of uniform acceleration an example

    The area under a velocity vs time curve represents the distance traveled in the specified time, draw a vertical line at any time and extend this until it meets the curve.

  • Calculating Velocity, Integrals, and the Sum

    504634 Calculating Velocity, Integrals, and the Sum Please see the attachment for 3 questions I have. 3 homework questions. Please help. 8.

  • Calculating speed as a function of distance

    Distance d is the distance MB descends and also the distance MA slides. Note 2. At the end of the descent, both blocks are moving with final velocity V and the pulley is rotating with final angular velocity w=V/R Note 3.

  • Speed of sound and Light - calculating time and distance

    7709 Speed of sound and Light - calculating time and distance During a thunderstorm, we first see the lightning and then hear the thunder.

  • Physics Periodic waves: Calculating frequency and speed of train.

    Therefore the frequency at which each boxcar passes (in other words the number of times it passes in every second) is : 15/12 s b) Velocity = distance/time. total distance = 15*14 meters thus, velocity = 15 *14/12 meter/sec.

View More Related Solutions