- 11

- 0

**Suvat -- Two cars approach each other on a straight road**

**1. Homework Statement**

Two cars approach each other on a straight road. Car A is moving at 16m/s and car B at 8m/s. When they are 45m apart both drivers apply their brakes. Car A slows down at a rate of 2m/s^2 while car B slows down at 4m/s^2. Where and when do the cars collide?

**2. Homework Equations**

I'm assuming that this would result in a simultaneous equation given that there are two unknowns; distance (s) and time (t) (where and when).

**3. The Attempt at a Solution**

CAR A

s = s

u = 16m/s

v = x

a = -2m/s^2

t = t

s = ut + 1/2 at^2

s = 16t - t^2

Equation 1

CAR B

s = s

u = 8m/s

v = x

a = -4m/s^2

t = t

s = ut + 1/2 at^2

s = 8t - 2t^2

Equation 2

Equation 1: s = 16t - t^2

Equation 2: 2s = 16t - 4t^2

It is at this point I fall as I still land up with two unknown variables: -s = 5t^2

Where am I going wrong?

**1. Homework Statement**

**2. Homework Equations**

**3. The Attempt at a Solution**