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

Name: Problem 51, Chapter 2: College Physics for AP® Courses
Uploaded: 2020-03-17T19:24:38-08:00
Duration: 2 min 22 s
Channel: Caitlin Walker
Description: 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 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 see it? (b) How much time does he have to move before the rock hits his head?

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 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 see it? (b) How much time does he have to move before the rock hits his head?

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Key Concepts

Time of Flight Calculations

This involves determining the duration an object spends in motion. In free fall problems, calculating the time from a specific starting point until impact or until reaching a certain position is critical, and it relies on the kinematic equations and the constant acceleration of gravity.

Kinematic Equations

These are the mathematical formulas that relate the displacement, initial velocity, time, and acceleration of an object in motion under constant acceleration. They are essential for solving problems involving objects in free fall and other uniformly accelerated motions.

Free Fall Motion

This concept describes the motion of objects that are moving solely under the influence of gravity, with negligible air resistance. In free fall, an object accelerates at a constant rate determined by gravity, and its displacement over time can be calculated using established kinematic formulas.

Acceleration Due to Gravity

This is the constant rate at which objects accelerate when falling toward the Earth, typically approximated as 9.8 m/s². It is the key parameter in equations of free fall and is central to calculations involving gravitational acceleration.

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