Question

1.) 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

v2x=2Pmt where P = 3.6 × 104 W is the car's power output, m = 1200 kg is its mass, and vx is in m/s. That is, the square of the car's velocity increases linearly with time.

a.)

Find an algebraic expression for the car's acceleration at time t.

Express your answer in terms of some or all of the variables P, m, and t.

b.)

What is the car's speed at t = 2 s?

Express your answer to two significant figures and include the appropriate units.

c.)

What is the car's speed at t = 12 s?

Express your answer with the appropriate units.

d.)

Evaluate the acceleration at t = 2 s.

Express your answer to two significant figures and include the appropriate units.

e.)

Evaluate the acceleration at t = 12 s.

Express your answer with the appropriate units.

Answer 1