Answer:
18.82 m
Explanation:
The following data were obtained from the question:
Initial velocity (u) = 20 m/s
Horizontal distance (s) = 39.2 m
Height (h) of the cliff =?
Next, we shall determine the time taken for the car to get to the ground. This can be obtained as follow:
Initial velocity (u) = 20 m/s
Horizontal distance (s) = 39.2 m
Time (t) taken to reach the ground =?
s = ut
39.2 = 20 × t
Divide both side by 20
t = 39.2 / 20
t = 1.96 s
Finally, we shall determine the height of the cliff as follow:
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) taken to reach the ground = 1.96 s
Height (h) of the cliff =?
h = ½gt²
h = ½ × 9.8 × 1.96²
h = 4.9 × 3.8416
h = 18.82 m
Therefore, the cliff is 18.82 m high
