Calculation of Maximum Distance Up an Inclined Plane

Question

The maximum distance up an inclined plane (of an inclination ð›¼ð›¼) reached by an object of mass m, taking the air resistance proportional to the instantaneous velocity (constant of proportionality K) into account is

a) Find the inclination ð›¼ð›¼ of the plane of a 5 kg object moved through a maximum distance of 2 m with an initial velocity of 10 m/s. If K = 2 s/kg.
b) If the maximum height attained by a body of mass m when thrown upward with an initial velocity ð‘£ð‘£0 (air resistance is proportional to its instantaneous velocity, the constant of proportional being K is given by

At what initial velocity will a body of mass 3 kg be thrown so as to attain a maximum height of 5m. Given that K = 2s/kg. What happens as ð¾ð¾→0

Summary

This question belongs to Mechanics and discusses about calculation of maximum distance up an inclined plane.

• Rasha

this is a very good website

• maani

I have 50 questions for the same test your page is showing only 28

• joeanne

• joeanne

hi can anyone help or guide me to my assignments. thanks

• Monik

• Cristina

This solution is perfect ...thanks

• Janete

Hello Allison,I love the 2nd image that you did! I also, had never heard of SumoPaint, is something that I will have to exolpre a bit! I understand completely the 52 (or so) youtube videos that you probably watched. Sometimes they have what you want, sometimes they don't! However, it is always satisfying when you are able to produce something that you have taught yourself. Great job!Debra 0 likes

• Sandeep

Perfect bank of solution.

• Oxana

great !

• Paul Brandon-Fritzius

thanks for the quick response. the solution looks good. :)

• tina Johnson

thnx for the answer. it was perfect. just the way i wanted it.

• Giuseppe

works fine.