Standing at the base of one of the cliffs of Mt. Arapiles in...

Standing at the base of one of the cliffs of Mt. Arapiles in Victoria, Australia, a hiker hears a rock break loose from a height of $105.0 \mathrm{m}$. He can't see the rock right away, but then does. 1.50 s later. (a) How far above the hiker is the rock when he can hear it? (b) How much time does he have to move before the rock hits his head?

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Key Concepts

Free-Fall Motion

Free-fall motion refers to the movement of an object under the influence of gravity alone, with negligible air resistance. This concept allows us to calculate the object's velocity and displacement at any given moment using the uniform acceleration of gravity, typically 9.8 m/s² near the Earth's surface.

Constant Acceleration Kinematics

Constant acceleration kinematics provides equations that relate displacement, initial velocity, time, and acceleration when acceleration is constant. These equations are essential for creating mathematical models of motion, such as determining how far an object falls in a given time interval or calculating the total time it takes to fall from a certain height.

Time of Flight Calculation

Time of flight calculation involves determining how long an object takes to travel from its starting point to the ground under constant acceleration due to gravity. This concept is useful when assessing critical moments in free-fall motion, such as determining reaction times or safe time intervals after an initial event.

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