The equation v_x² = (nP₀/m)t describes the velocity of an engine-powered device for time t₁ = 0 and t₂ = 30 s.  During this time interval, the engine is at its peak acceleration. The equation contains an engine's power in multiples of P₀ (nP₀) in watts, the device's mass, m in kg, and v in m/s. The equation is interpreted as v² having a direct relationship with t. Derive an expression for the acceleration in terms of P₀, m, and t that can be used to determine acceleration at a time, t ≤ 30 s.