Over the interval 0<t<30, the velocity of a partical is given by sqrt(tan(x)).
Give an expression that gives the exact distance that the particle has traveled at time (t).

Originally posted by Savielly Over the interval 0<t<30, the velocity of a partical is given by sqrt(tan(x)).
Give an expression that gives the exact distance that the particle has traveled at time (t).

what put me onto this was that dx/dt is not a function of T and it is very sensitive to the initial value of x. As no initial value of x is given, I assume it is zero?

If X does not start at zero, we get a problem because X increases with time until it gets to x=pi/2 when tan(x) is infinite, an instant after that, tan(x) goes negative and the sqrt becomes imaginary. So, unless x is allowed to be a complex number, it pretty much has to start, and remain, at zero.