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A cheetah can accelerate from rest to a speed of in . What is its acceleration?
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2. 1D Motion / Kinematics
Intro to Acceleration
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Which of the following best describes the difference between the speed of an object and the acceleration of an object?
A
Speed is the rate at which an object's acceleration changes, while acceleration is the total distance traveled by the object.
B
Speed is the rate at which an object covers distance, while acceleration is the rate at which the object's velocity changes over time.
C
Speed is measured in , while acceleration is measured in .
D
Speed is always constant for any moving object, while acceleration is always zero.
Guida verificata passo dopo passo1
Step 1: Understand the definition of speed. Speed is a scalar quantity that measures how fast an object is moving, specifically the rate at which it covers distance. It is given by the formula \(\text{speed} = \frac{\text{distance}}{\text{time}}\).
Step 2: Understand the definition of acceleration. Acceleration is a vector quantity that measures how quickly an object's velocity changes with time. It can involve changes in speed or direction. The formula for acceleration is \(\text{acceleration} = \frac{\Delta \text{velocity}}{\Delta \text{time}}\).
Step 3: Note the difference in units. Speed is measured in meters per second (\(m/s\)), while acceleration is measured in meters per second squared (\(m/s^{2}\)), reflecting the change in velocity per unit time.
Step 4: Recognize that speed does not indicate direction, whereas acceleration involves changes in velocity, which includes both speed and direction.
Step 5: Conclude that the correct description is: Speed is the rate at which an object covers distance, while acceleration is the rate at which the object's velocity changes over time.
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