An automobile is traveling along a straight road to the southeast at 24 m/s when the driver sees a deer begin to cross the road ahead of her. She steps on the brake and brings the car to a complete stop in an elapsed time of 8.0 s. A data recording device, triggered by the sudden braking action, records the following velocities and times as the car slows. Let the positive x-axis be directed to the southeast. Plot a graph of v_x versus t and find 

(a) The average acceleration as the car comes to a stop and 

(b) The instantaneous acceleration at t = 2.0 s.

Transcribed Image Text:

Vx (m/s) 24 17.3 12.0 8.7 6.0 3.5 2.0 0.75 t (s) 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0