Calculus
# Related Rates

The amount of heat dissipated through a resistor of resistance $R$ through a circuit with voltage $V$ for $t$ seconds is approximated by the formula $H = \displaystyle\frac{V^2t}{R}$.

After the circuit has been on for 5 seconds, the resistor has been heating up and its resistance is $10 \Omega$ while increasing at a rate of $1 \Omega / \text{s}$. What is the rate (in J/s) that heat is being dissipated through this resistor at this moment if the circuit is operating at a constant voltage of $V = 12$?