Question

Suppose that a bicyclist is biking with a velocity function of v(t) = 2t - 1 ft/min starting at t = 0, how long does it take the bicyclist to go 30ft?

Answer 1

This problem seems simple - please help me figure it out!

Answer 2

It's actually a multiple choice problem in my book, but no answer in the back

Answer 3

we know that v=ds/dt i.e the integral of velocity is displacement
v dt =ds
integrate v(t) from 0 to t and integrate ds from 0 to 30
integrating both side we get t^2-t=30
solving for t we get t=-5,6 pick t=6 and thats the ans