The velocity of a particle moving in the xy plane is given by = (5.2 t - 4.8 t2) + 8.0, with in meters per second and t (> 0) in seconds. (a) What is the acceleration when t = 2.3 s? (b) When (if ever) is the acceleration zero? (c) When (if ever) does the speed equal 10 m/s?
I am able to solve for (a) and (b), but (c) gives me complex numbers as a result of the quadratic equation.
Would the answer for (c) be never?