Question

King Kong jumps off the top of a cliff. He is seen to hit the ground below after 14.9s. How high is the cliff? NOTE- Be sure to write a key, the equation, and answer using the proper Significant Figures ​

Answer 1

To calculate the height of the cliff, we can use the equation h = Vit + 0.5gt^2, where h is the height of the cliff, Vi is the initial vertical velocity, t is the time it takes for the object to hit the ground, and g is the acceleration due to gravity. Plugging in the given values, the height of the cliff is approximately 1090.0 m.

Step-by-step explanation:

To calculate the height of the cliff, we can use the equation for the vertical motion of an object:

h = Vit + 0.5gt^2

Where:

• h is the height of the cliff
• Vi is the initial vertical velocity, which is 0 m/s because King Kong jumped from rest
• t is the time it takes for the object to hit the ground, which is 14.9 s
• g is the acceleration due to gravity, which is approximately 9.8 m/s^2

Plugging in the values, we have:

h = (0)(14.9) + 0.5(9.8)(14.9)^2

h = 0 + 0.5(9.8)(14.9)(14.9)

h = 0.5(9.8)(222.01)

h = 1090.019

Therefore, the height of the cliff is approximately 1090.0 m.