SOLUTION: A car starting from rest is given a constant acceleration of 5m/s^2. (a) In how many seconds will it attain a velocity of 100 m/s^2? (b) How far will it have traveled in this same

Algebra ->  Test -> SOLUTION: A car starting from rest is given a constant acceleration of 5m/s^2. (a) In how many seconds will it attain a velocity of 100 m/s^2? (b) How far will it have traveled in this same       Log On


   

Question 1182716: A car starting from rest is given a constant acceleration of 5m/s^2. (a) In how many seconds will it attain a velocity of 100 m/s^2? (b) How far will it have traveled in this same time?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

To find the time, use the formula for the speed gained by uniformly accelerated body

      v = at.


where "a" is the acceleration; t is the time;  v is the speed.


In your case  a = 5 m/s^2, v = 100 m/s  are given,  so


    t = v%2Fa = 100%2F5 = 20 seconds.



Having the acceleration and time, you can now find the distance


    d = %28a%2At%5E2%29%2F2 = %285%2A20%5E2%29%2F2 = %285%2A400%29%2F2 = 5*200 = 1000  meters.    ANSWER

The problem is solved: all questions are answered.

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I used standard formulas from Physics (kinematics).