The problem is: A car accelerates from 0mph to 60mph. Its velocity at time t is v(t)=8tmph where t is in seconds.. The problem is: A car accelerates from 0mph to 60mph. Its velocity at time t is v(t)=8tmph where t is in seconds. Use an integral to find the total distance in miles it travels during its acceleration. The second problem is: A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function f(t)=300t^2 where t is in minutes. a) how much water flows out of the tank during the first 2 minutes?b) how long does it take for the tank to be empty? Thank you so much for trying to help! I tried several different ways to solve it but I am not getting the right answer!