Final answer:
The car lands approximately 60.38 meters away from the base of the cliff.
Step-by-step explanation:
To find the distance that the car lands from the base of the cliff, we need to determine the horizontal distance the car travels before hitting the ground. Since the car's initial velocity is horizontal, it will have a constant horizontal velocity as it falls. The time it takes for the car to hit the ground can be found using the equation:
time =√(2 * height / acceleration)
where height is the initial height of the car and acceleration is the acceleration due to gravity. Substituting the given values, we have:
time = √(2 * 45 / 9.8) = 3.019 seconds
Next, we can find the horizontal distance using the equation:
distance = velocity * time
Substituting the given value:
distance = 20 * 3.019 = 60.38 meters
Therefore, the car lands approximately 60.38 meters away from the base of the cliff.