- #1

bolzano95

- 89

- 7

- Homework Statement
- The car in front of us is driving with velocity ## v_0 = 80km/h ##. How big should the acceleration be to overtake the car and not cause an accident? In the moment when we start to accelerate is the car in front of us x=160m away. The length of the cars is l=4m. Neglect the time when changing the lanes.

- Relevant Equations
- The relevant equations are the basic kinematic equations (look at my attempt of solution).

The car in front of us (2.car): ## s_2=v_0t ##

The car that is accelerating (1.car): ## s_1=x+2l+s_2= \frac{1}{2} at^2 ##

Now, if we substitute the equations, we get ## x+ 2l+ v_0t= \frac{1}{2} at^2 ##.

I have now 1equation with 2variables (a, t)- any suggestions on how to continue?

The car that is accelerating (1.car): ## s_1=x+2l+s_2= \frac{1}{2} at^2 ##

Now, if we substitute the equations, we get ## x+ 2l+ v_0t= \frac{1}{2} at^2 ##.

I have now 1equation with 2variables (a, t)- any suggestions on how to continue?