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Question
what is acceleration? (pp. 22–23)
- what is acceleration?
- acceleration involves a change in either ______
- any time the speed of an object increases, the object undergoes ______
- is the following sentence true or false? acceleration refers to increasing speed, decreasing speed, or changing direction.
- deceleration is another word for negative ______
- is the following sentence true or false? an object can be accelerating even if its speed is constant. ______
Question 1: What is acceleration?
Acceleration in physics (subfield of Natural Science: Physics) is defined as the rate of change of velocity of an object with respect to time. Velocity is a vector quantity that includes both speed and direction, so acceleration can result from a change in speed (speeding up or slowing down) or a change in direction (even if speed is constant, like in circular motion). In formula terms, acceleration \( a=\frac{\Delta v}{\Delta t} \), where \( \Delta v \) is the change in velocity and \( \Delta t \) is the change in time.
From the definition of acceleration (related to velocity), velocity has two components: speed (magnitude) and direction. So acceleration occurs when there's a change in speed (how fast the object is moving) or a change in direction (the path the object is taking, like turning). So the blanks should be filled with "speed" and "direction" (or in the context of the question's phrasing, likely "speed" and "direction" as the two aspects of velocity that can change to cause acceleration).
When an object's speed increases, its velocity is changing (since speed is the magnitude of velocity). By the definition of acceleration, an increase in speed (a type of change in velocity) means the object is accelerating. Specifically, this is positive acceleration (or just acceleration, as acceleration is a vector, but in the context of increasing speed, it's acceleration in the direction of motion).
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Acceleration is the rate of change of an object's velocity with respect to time, involving changes in speed (increasing or decreasing) or direction.