When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation

Where P = 3.6 × 10⁴ watts is the car€™s power output, m = 1200 kg is its mass, and v_x is in m/s. That is, the square of the car€™s velocity increases linearly with time.

a. Find an algebraic expression in terms of P, m, and t for the car€™s acceleration at time t.

b. What is the car€™s speed at t = 2 s and t = 10 s?

c. Evaluate the acceleration at t = 2 s and t = 10 s.

Transcribed Image Text:

2P v? = т