Pregunta
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Determine the cause of acceleration in each scenario.
An airplane turning from south to west at constant speed is accelerating due to a change in
A biker going west after travelling north at is accelerating due to a change in
A runaway shopping cart speeding up as it goes down a hill is accelerating due to a change in

Ask by Dickson Matthews. in the United States
Mar 24,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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  • Airplane: Change in direction.
  • Biker: Change in velocity.
  • Shopping cart: Change in speed.

Solución

Let’s analyze each scenario to determine the cause of acceleration:
  1. An airplane turning from south to west at constant speed:
    • The airplane is changing its direction of motion. Even though the speed is constant, acceleration occurs because acceleration is defined as a change in velocity, which includes both speed and direction. Therefore, the cause of acceleration is a change in direction.
  2. A biker going west after traveling north at :
    • The biker is changing both speed and direction. Initially, the biker was traveling north and then changed to traveling west at a different speed. The acceleration is due to a change in velocity (both speed and direction).
  3. A runaway shopping cart speeding up as it goes down a hill:
    • The shopping cart is increasing its speed as it moves down the hill. This acceleration is due to a change in speed. The force of gravity acting on the cart causes it to accelerate down the slope.
In summary:
  • Airplane: Change in direction.
  • Biker: Change in velocity (speed and direction).
  • Shopping cart: Change in speed.

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Beyond the Answer

In the case of the airplane turning from south to west, the acceleration is caused by a change in direction. Even though the speed remains constant, the plane’s change in trajectory results in acceleration, as acceleration is not just about speed but also about any alteration in velocity’s direction.
For the biker transitioning from traveling north to moving west, the acceleration is also due to a change in direction. The biker is altering their path, which involves a vector change in velocity, leading to acceleration despite the absolute speeds being distinct.
In the scenario of the runaway shopping cart speeding up while rolling down a hill, the acceleration results from a change in speed. The gravitational force acting on the cart increases its velocity as it descends, illustrating how forces can impact acceleration along the direction of motion.

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