Question

Unlike gas engines, electric engines supply equal power regardless of their speed. A Tesla Model S is capable of generating 345 kW of power. Assuming no losses of energy to friction, what is the minimum length of time it takes to accelerate a Tesla Model S from rest to 100 km/hr?

Answer 1

Given that, the Tesla engine is capable of generating a constant power

Let's say, the mass of the car is .

If we assume that there are no losses of energy to friction, the entire power is utilized to increase the kinetic energy of the car from rest to a velocity of 100 kmph. Let's say that the engine takes 't' seconds

Typically, the mass of a car is 1500 kg. Then,

Since we have assumed that there are no losses of energy, the amount of time derived in the above equation would be the minimum time it takes for the engine to jump-start the car from rest to a speed of 100 kmph