This might be an amusing one for you. I need help how do I calculate the energy needed to accelerate a 4300 lbs mass traveling at 55 mph to 84mph within a quarter mile. In real life terms: (No exact science needed) I'm trying to find out, roughly how much, theoretically, approximate additional energy (ideally in horsepower) is needed to accelerate a vehicle, in this case a 1986 Toyota Landcruiser with a 125 hp 6 cylinder carburetor engine... with a vehicle curb weight (mass) of 4,300 lbs, traveling in direct (4th) gear accelerating from 55mph (V1) up to 84mph (V2) within about a quarter mile. Ignoring all frictions, wind, etc. Btw. the engine of the vehicle produces 125 net hp at max. 3,600 rpm. the axle (wheel to engine) gear ratio is 3.7 (At 55mph the engine revs around 2,500 rpm. Given by actual tire size, 27" diameter, the engine would be deep into the redline range at almost 4,000 rpm at 84mph! Thank you very much in advance for your helpful consideration of an answer and solution helping me solve this! An approximate result or approach would be fine. Best regards, Q PS Why I ask this? Because a nut-job knucklehead of a CHP officer claims I did that! Thereafter I tried it a couple of times on a closed old airport runway, but it is impossible to achieve. In part simply because the vehicle mechanically by design can not go that fast neither does it have the horsepower to move it's 4300 lbs so quickly within a 1/4 mile.