The cart travels the track again and now experiences a constant tangential acceleration from point A to point C. The speeds of the cart are 14.0 ft/s at point A and 19.0 ft/s at point C. The cart takes 3.50 s to go from point A to point C, and the cart takes 1.40 s to go from point B to point C. What is the cart's speed at point B

    = 17.98 m / s

Explanation:

To solve this exercise we will use the kinematics relations in one dimension, let's start by looking for the acceleration between points A and C

         v = v₀ + a t

         a =

         a =

         a = 1.43 m / s²

this acceleration is uniform throughout the path.

Let's find the velocity at point B

let's calculate

          = 19 - 1.43 1.40

          = 17.98 m / s