Question

Constant power P is delivered to a car of mass m by its engine. Show that if air resistance can be ignored, the distance covered in a time t by the car, starting from rest, is given by s=(8P/9m)¹/² t³/².

Answer 1

The distance covered by a car, starting from rest, with constant power and ignoring air resistance can be calculated using the equation s = (8P/9m)^(1/2) t^(3/2).

Step-by-step explanation:

To find the distance covered by a car, starting from rest, with constant power and ignoring air resistance, we can use the equation s = (8P/9m)^(1/2) t^(3/2). In this equation, s represents the distance covered, P represents the power delivered to the car's engine, m represents the mass of the car, and t represents the time taken. To demonstrate this equation, we can substitute the given values into the equation and solve for the distance covered.