Find the expression for the acceleration of the motorboat

Reference no: EM131246436

A motorboat of mass m is acted on by a resisting force R which varies directly with the square of the velocity : R kv^2 . Suppose the pore is cut off when the motorboat has a velocity v.

(a) find the expression for the acceleration of the motorboat, dv/dt , in term of m,k,and v.

(b) Is the acceleration constant ?

(d) find by integration the velocity at any time t.

(e) if the initial velocity v is 30 ft/s, and if the velocity decrease to 20 ft/s , find the resisting force R at a velocity of 30 ft/s. the mass m of the motorboat is 100 slugs.

Reference no: EM131246436

Questions Cloud

Relationship between the ethical leader and the follower : What do you believe are the most important characteristics of ethical leadership? - Describe the relationship between the ethical leader and the follower.

Depreciation in the value of the dollar : A depreciation in the value of the dollar (holding everything else constant) would cause an increase in US net exports.

What is interesting or helpful about this view : What's interesting or helpful about this view? What would I notice if I believed this view? In what sense or under what conditions might this idea be true?"

Write a reflection paper about the nummi joint venture : Write a reflection paper about the NUMMI joint venture between General Motors and Toyota with respect to how it illustrates the presence or absence of the elements of supportive context as described by Hackman

Find the expression for the acceleration of the motorboat : if the initial velocity v is 30 ft/s, and if the velocity decrease to 20 ft/s , find the resisting force R at a velocity of 30 ft/s. the mass m of the motorboat is 100 slugs.

Economy is recession and faces relatively high inflation : Suppose the U.S. economy is in a recession and faces relatively high inflation. List only the monetary policy approaches the Fed could take to resolve these two problems (i.e, do not list the policy tools—just describe in general what the Fed could d..

Represent a prisoner dilemma : The Nash equilibrium should be that Fox News increases price significantly and Dish Network accepts the offer, but payoffs to Dish Network would be highest if Fox News had increased the price by 10%. Does this represent a prisoner's dilemma? Why ..

Labeling end points and the slope of the isocost : The price of capital (Pk) is $30 and the price of labor (PL) is $10. Graph the firm's isocost when total cost is 300$, labeling end points and the slope of the isocost.

What can be concluded about the blue-book value : Most insurance companies will replace a vehicle any time an estimated repair exceeds? 80% of the? "blue-book" value of the vehicle.? Michelle's insurance company paid?$6300 for repairs on her car after an accident. What can be concluded about the?..

User Account

All Pages