SOLUTION: How long does it take a car to cross a 30.0 m wide intersection after the light turns green , If the car accelerates from rest at a constant of 2.00 m/s^2? A car starts from re

Algebra ->  Rational-functions -> SOLUTION: How long does it take a car to cross a 30.0 m wide intersection after the light turns green , If the car accelerates from rest at a constant of 2.00 m/s^2? A car starts from re      Log On


   

Question 1196741: How long does it take a car to cross a 30.0 m wide intersection after the light turns green , If the car accelerates from rest at a constant of 2.00 m/s^2?
A car starts from rest and accelerates uniformly over a time of 5.21 s for a distance of 110 m .determine the acceleration of the car.
Answer by ikleyn(52772) About Me  (Show Source):
You can put this solution on YOUR website!
.
(a) How long does it take a car to cross a 30.0 m wide intersection after the light turns green ,
If the car accelerates from rest at a constant of 2.00 m/s^2?
(b) A car starts from rest and accelerates uniformly over a time of 5.21 s
for a distance of 110 m .determine the acceleration of the car.
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(a) Use the formula for a distance at uniformly accelerated rectilinear movement

        D = %28at%5E2%29%2F2,     (1)

where D is the traveled distance, "a" is the acceleration, t is the time.


Substitute given values into the formula D = 30 m, a = 2.00 m/s^2

      30 = %282%2At%5E2%29%2F2.


You have an equation for time t. Express t

    t^2 = %2830%2A2%29%2F2 = 30;  t = sqrt%2830%29 = 5.48 seconds.


ANSWER.  5.48 seconds.

Solved.

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Solve your second problem similarly, starting from the same formula (1).

Or post your second problem separately.

Never pack more than problem per post. It is a rule of this forum.