A particle starts at the origin and moves along the curve y=(2x^(3/2))/3 in the positive x direction at a speed of 3cm/s. Find the position of particle at time t=6.

Im not sure how to approach this. I feel like at time t=6 the particle has moved 18cm in the x direction. Does this mean I just plug 18 into to formula or do I need to do something involving arc length?

Question

A particle starts at the origin and moves along the curve y=(2x^(3/2))/3 in the positive x direction at a speed of 3cm/s. Find the position of particle at time t=6. 

Im not sure how to approach this. I feel like at time t=6 the particle has moved 18cm in the x direction. Does this mean I just plug 18 into to formula or do I need to do something involving arc length?

turingtest · Answer

this question came up earlier today, let me see if I can find it...

turingtest · Answer

http://openstudy.com/study#/updates/506dc4c3e4b060a360ff00c6

anonymous · Answer

Thanks