A particles velocity is described by the function v x k t 2 m s, where k is a constant and t is in s The particles position at t 0 0 s is x 0 9 0 m At t 1 3 0 s, the particle is at x 1 9 0 m Determine the value of the constant k Be sure to include the proper units ...

The position is the integral of ...

A particles velocity is described by the function v x = k t 2 m/s, where k

Question:

A particle’s velocity is described by the function v_x = k t² m/s, where k is a constant and t is in s. The particle’s position at t₀ = 0 s is x₀ = - 9.0 m. At t₁ = 3.0 s, the particle is at x₁ = 9.0 m. Determine the value of the constant k. Be sure to include the proper units?