Question

What is the maximum acceleration of a vehicle on a horizontal road given tha coefficient of static friction b/w road and tyres is mu?

Answer 1

Once I discussed cars and there was a question about rate at which the car gains its speed (100km/h100km/h) from standstill (i.e. acceleration). At some point of conversation it came up that cars cannot gain their 100km/h100km/h speed for such tiny time interval I proposed (less than 33 seconds), because it can't go with acceleration more than ggi.e. free fall accel on Earth (we talked about wheel-driven vehicles - not a rocket-driven - and all we know that at certain acceleration value the wheels lose their grip with ground and vehicle is not moving forward it's burning tyres istead).
I 

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