If Joe rides his bicycle in a straight line for 15 min with an average velocity of 12.5 km/h south, how far as he ridden?

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Jan 15, 2016

3.125 km

Explanation:

The formula for velocity is

#V=(D) /(T)#

where T is time, V is velocity, and D is distance.
This can be rearranged so that we can find distance.

#D=V*T#

Substituting in the given values, we get

#D=15*12.5#

Then we convert 15 minutes to hours to multiply with 12.5 km/h.

So, 15 mins = 15/60 = 0.25 hrs.

#D=0.25*12.5#

x = displacement = 3.125 km

He must have ridden 3.125 km.