Ungle Jim runs along level ground at 5 m/s. He grabs a vine and swings up to the edge of a nearby cliff (above the level ground on which he was running), just making it to the height of thecliff, essentially at rest. He then steps off onto the cliff.1. How high is the cliff above the level ground?

Maximum Height = 1.274m

Explanation:

The maximum Kinetic energy of Ungle Jim at the swing = Maximum potential energy at the swing

Kinectic Energy = Potential Energy

1/2mv² = mgh

Therefore,

The maximum height = v²÷ 2g

v = speed of Ungle jim

Where g = acceleration due to gravity = 9.81 m/s²

Maximum height = (5 m/s²) ÷ (2 × 9.81 m/s²)

= 1.274m

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air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.