The scenario described by option c is correct for calculating the dog's acceleration and final velocity. The displacement equation x = xo + Vo t + 1/2 a t² is used to find the acceleration, while Vf = Vo + a t finds the final velocity.
The student is trying to find the acceleration and final velocity of a dog who starts from rest and reaches a steak 50 meters away in 14 seconds. The correct scenario would be option c, which states: Xo: 0m, X: 50m, a: unknown, Vf: unknown, Vo: 0m/s, t: 14s. To calculate the acceleration (a) and final velocity (Vf), we can use the kinematic equations for uniformly accelerated motion:
Since the initial velocity Vo is 0 m/s, we can use the equation for displacement:
x = xo + Vo t + 1/2 a t², where xo is the initial position, x is final position, Vo is initial velocity, a is acceleration, and t is time. Plugging in the values, we have 50 m = 0 m + 0 m/s × 14 s + 1/2 a × (14 s)², from which we can solve for a. Similarly, to find the final velocity Vf, we can use Vf = Vo + a t.
The solution process would involve identifying knowns, and plugging these into the formulae to solve for the unknowns of acceleration and final velocity respectively.