Thread: Word prob.

A particle in a magnetic field travels in a straight line. The force (in Newtons) acting upon it is given by the function

F(s) = square root of (s) −s^2, where s = f(t), the position of the particle in meters, changes with time t. At what rate is the force changing with respect to time at a time T for which the particle is at position s = 1 and has velocity 4 m/s.

Please explain this prob and how to do it!

Originally Posted by kwivo

A particle in a magnetic field travels in a straight line. The force (in Newtons) acting upon it is given by the function

F(s) = ps−s2, where s = f(t), the position of the particle in meters, changes with time t. At what rate is the force changing with respect to time at a time T for which the particle is at position s = 1 and has velocity 4 m/s.

Please explain this prob and how to do it!

Is that
F(s) = p*s -s^2 ?

s = f(t), okay, but what is p?

Sorry, I fixed it.

Originally Posted by kwivo

A particle in a magnetic field travels in a straight line. The force (in Newtons) acting upon it is given by the function

F(s) = square root of (s) −s^2, where s = f(t), the position of the particle in meters, changes with time t. At what rate is the force changing with respect to time at a time T for which the particle is at position s = 1 and has velocity 4 m/s.

Please explain this prob and how to do it!

where s is a function of t.

What is
?

Looks like a chain rule problem to me.

For example, the first term:


You do the rest.

-Dan