Question

at the instant a traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 2.00 m/s2. at that moment a truck traveling with a constant velocity of 15.0 m/s overtakes and passes the car. (a.) calculate the time necessary for the car to reach the truck. (b.) calculate the distance beyond the traffic light that the car will pass the truck. (c.) determine the speed of the car when it passes the truck.

Answer 1

a)  time, t = 11.407 s, b) distance   x = 175.66 m,  v = c)      speed    v = 30.80 m / s

Explanation of question:

a) This is kinematics exercise,  write the equation of each vehicle car is;-

 x = x₀ + v₀ t + ½ a t²

Let's fix our the reference system at a point where the car  indicate that the car stops from rest is vo = 0.

 x₀ = v₀ = 0

we substitute

x = ½ a t²

truck  

x₂= v₀ t

v₀ = 15.4 m / s

At the point where they are,  positions are equal:-

½ a t² = vo t

t = 2 vo / a

calculate us

t = 2 15.4 / 2.

t = 11.407 s

b) the distance to reach it

x = ½ to t²

x = ½ 20 11.407²

x = 175.66 m

c)  the speed of the car is

 v = vo + a t

  vo = 0

    v = at

      v = 2.0 11.407

       v = 30.80 m / s

To know more about acceleration  visit:-

brainly.com/question/12550364

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