Multiple Choice
When striking, the pike, a predatory fish, can accelerate from rest to a speed of 4.4 m/s in 0.12 s. What is the acceleration of the pike during this strike?
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2. 1D Motion / Kinematics
Intro to Acceleration
Multiple Choice
Which of the following best describes the difference between and ?
A
is the rate at which an object's changes, while is the rate at which an object covers distance.
B
is the rate at which an object covers distance, while is the rate at which an object's changes over time.
C
is a vector quantity, while is a scalar quantity.
D
and both measure how fast an object moves, but is always greater than .
Verified step by step guidance1
Step 1: Understand the definition of speed. Speed is a scalar quantity that measures how fast an object covers distance, regardless of direction. 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 the rate of change of velocity with respect to time. It can be expressed as \(\mathbf{a} = \frac{\Delta \mathbf{v}}{\Delta t}\), where \(\Delta \mathbf{v}\) is the change in velocity and \(\Delta t\) is the change in time.
Step 3: Recognize the difference between speed and acceleration. Speed tells you how fast an object is moving, while acceleration tells you how the velocity (which includes both speed and direction) is changing over time.
Step 4: Note that speed is scalar (only magnitude) and acceleration is vector (magnitude and direction). This means acceleration can change the speed, the direction of motion, or both.
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 an object's velocity changes over time.
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