State whether each sentence below is true or false.
1. A velocity vector takes both the speed and the direction of a moving object into account.
Answer (2)
T r u e
Explanation
Understanding the Question We are asked to determine whether the statement 'A velocity vector takes both the speed and the direction of a moving object into account' is true or false. To answer this, we need to recall the definition of a velocity vector.
Definition of Velocity Vector A velocity vector is a vector that represents the rate at which an object changes its position. It includes both the speed of the object (how fast it is moving) and the direction in which it is moving.
Determining the Answer Since the statement explicitly mentions that a velocity vector considers both speed and direction, and this aligns perfectly with the definition of a velocity vector, the statement is true.
Final Answer The statement 'A velocity vector takes both the speed and the direction of a moving object into account' is true.
Examples
Understanding velocity vectors is crucial in many real-world applications. For example, when planning the trajectory of a rocket, engineers must consider both the speed and direction to ensure it reaches its intended destination. Similarly, meteorologists use velocity vectors to predict the movement of weather systems, helping to forecast storms and other weather events. In sports, analyzing the velocity vector of a ball or an athlete can optimize performance and strategy.
The statement that a velocity vector takes both speed and direction into account is true because a velocity vector is defined as having both components. Therefore, the answer is true.
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