The quantity of heat Q gained by a body of mass m, specific heat capacity, c and temperature change ΔT is Q = mcΔT. Let m₁, c₁ and m₂, c₂ represent the masses and specific heat capacities of the metal and water respectively. ΔT₂ for the water = 4.3°C. This means that its final temperature of the water after the metal has been placed in it is 21.0°C + 4.3°C = 24.3°C, which is the final temperature of the metal. So ΔT₁ for metal = 24.3°C - 50.0°C = -25.7°C.
Explanation: To solve for acceleration we will use Newton's Second Law of Motion which is F=ma. Since there are multiple forces acting on the object, we need to summate the forces involved. Derive to find acceleration.