Final answer:
The car lands 300 meters from the base of the cliff, calculated by multiplying the car's horizontal velocity of 40 m/s by the time it took to fall, which was 7.5 seconds.
Step-by-step explanation:
Calculating the Distance from the Base of the Cliff:
The question asks us to calculate how far from the base of the cliff a car lands when it drives off a cliff at a speed of 40 m/s and takes 7.5 seconds to hit the ground. To solve this problem, we need to use kinematic equations. The horizontal distance traveled by the car (range) is given by the equation:
Range = horizontal velocity x time
Since the car travels horizontally at a constant velocity (neglecting air resistance), we can calculate the range as:
Range = 40 m/s x 7.5 s = 300 m
Therefore, the car lands 300 meters from the base of the cliff.