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Ch 02: Motion Along a Straight Line
Young & Freedman Calc - University Physics 14th Edition
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoYoung & Freedman Calc 14th EditionCh 02: Motion Along a Straight LineProblema 48e
Capitolo 2, Problema 48e

A large boulder is ejected vertically upward from a volcano with an initial speed of 40.040.0 m/s. Ignore air resistance. What are the magnitude and direction of the acceleration while the boulder is (i) moving upward? (ii) Moving downward? (iii) At the highest point?

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1
Identify the forces acting on the boulder: Since the problem states to ignore air resistance, the only force acting on the boulder is gravity.
Understand the concept of acceleration due to gravity: Regardless of the direction of motion, the acceleration due to gravity near the Earth's surface is constant and directed downward. This is approximately 9.8 m/s².
Determine the acceleration while moving upward: As the boulder moves upward, it is decelerating due to gravity. The magnitude of the acceleration is 9.8 m/s², and the direction is downward.
Determine the acceleration while moving downward: As the boulder moves downward, it is accelerating due to gravity. The magnitude of the acceleration remains 9.8 m/s², and the direction is still downward.
Determine the acceleration at the highest point: At the highest point, the boulder's velocity is momentarily zero, but the acceleration due to gravity is still present. The magnitude is 9.8 m/s², and the direction is downward.

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Gravitational Acceleration

Gravitational acceleration is the constant acceleration experienced by an object due to Earth's gravity, approximately 9.8 m/s² downward. Regardless of the object's motion direction, this acceleration remains constant, affecting the boulder's upward, downward, and peak motion.
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Weight Force & Gravitational Acceleration

Projectile Motion

Projectile motion involves objects moving under the influence of gravity alone, following a parabolic trajectory. In this scenario, the boulder is a projectile, initially moving upward, slowing down until it reaches its peak, then accelerating downward, all under constant gravitational acceleration.
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Introduction to Projectile Motion

Velocity at the Highest Point

At the highest point of its trajectory, the boulder's vertical velocity becomes zero momentarily before it starts descending. Despite the velocity being zero, gravitational acceleration still acts downward, preparing the boulder to accelerate back towards the ground.
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Angular Momentum of a Point Mass
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