Sure, let's break down the problem step by step. We know that the car was on top of a 51 m high cliff and it traveled 134 m before hitting the ground. We also know that the car was not thrown or dropped from the cliff, but rather drove off the edge. This means that we can use the equations of kinematics to solve for the initial velocity of the car.
First, let's define our variables. We know that the initial velocity of the car (V0) is what we are trying to find. The final velocity (Vf) will be 0 m/s since the car comes to a stop when it hits the ground. The acceleration (a) is due to gravity and is equal to 9.8 m/s^2. The distance (d) is 51 m since the car traveled straight down from the top of the cliff.
Now, we can use the equation Vf^2 = V0^2 + 2ad to solve for V0. Plugging in our known values, we get 0^2 = V0^2 + 2(9.8)(51). Solving for V0, we get V0 = 31.6 m/s.
Therefore, the car was traveling at a speed of 31.6 m/s when it went over the cliff. It's important to note that this answer assumes the car was traveling horizontally off the edge of the cliff. If the car had any vertical velocity, the answer would be different. I hope this helps clarify the problem for you.