Final answer:
To find the distance at which the car will land, we can use the equation for distance in free-fall motion and the time it takes for the car to hit the ground. The car will land approximately 95.7 meters away from the cliff.
Step-by-step explanation:
To find the distance at which the car will land, we can use the equation for distance in free-fall motion:
d = v_i * t + 0.5 * a * t^2
Since the car is traveling horizontally, the initial vertical velocity is 0 m/s. The acceleration due to gravity is -9.8 m/s^2. We can use the equation to solve for the time it takes for the car to hit the ground:
50 m = 0 * t + 0.5 * (-9.8 m/s^2) * t^2
Simplifying, we get:
t^2 = 10.2
t = 3.19 s
Finally, we can use the time to find the horizontal distance traveled:
d = v * t
d = 30 m/s * 3.19 s = 95.7 m
Therefore, the car will land approximately 95.7 meters away from the cliff.