Calculus homework help

Question

A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 5. (Round your answers to

two decimal places.)

velocity _______ m/s

speed ________ m/s

Answer 1

f(t) = t^-1 - t

v(t) = f^'(t) = - t^-2 - 1

v(5) = - 26/25

since speed = |v(t)| then when t = 5 , speed is 26/25