Question

A car accidently rolls off a cliff. as it leaves the cliff it has a horizontal velocity of 13m/s it hits the ground 60m from the shoreline. calculate the height of the cliff
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Answer 1

Answer:

104.59 m

Explanation:

From the question given above, the following data were obtained:

Horizontal velocity (u) = 13 m/s

Horizontal distance (s) = 60 m

Height of cliff =?

Next, we shall determine the time taken for the car to hit the ground. This can be obtained as follow:

Horizontal velocity (u) = 13 m/s

Horizontal distance (s) = 60 m

Time (t) =?

s = ut

60 = 13 × t

Divide both side by 13

t = 60 /13

t = 4.62 s

Finally, we shall determine the height of the cliff. This can be obtained as follow:

Time (t) = 4.62 s

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) =?

h = ½gt²

h = ½ × 9.8 × 4.62²

h = 4.9 × 21.3444

h = 104.59 m

The, the height of the cliff is 104.59 m