Answer to Question #104142 in Mechanics | Relativity for Haley

Question #104142
Steve is in a car sitting at a stop light. When the light changes he accelerates west until he reaches a speed of 40m/s, which takes 12 seconds. a) What is the acceleration? b) How far did the car travel while accelerating?
1
Expert's answer
2020-02-28T10:34:42-0500

Given:

"v_i=0\\:\\rm m\/s;"

"v_f=40\\:\\rm m\/s;"

"t=12\\:\\rm s."

(a) The acceleration


"a=\\frac{v_f-v_i}{t}=\\frac{40-0}{12}=3.3\\:\\rm m\/s^2."

(b) Distance


"d=\\frac{v_f+v_i}{2}t=\\frac{40+0}{2}\\times 12=240\\:\\rm m."

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