Question

question 12 (1 point)
an object moving in the +x axis experiences an acceleration of 2.0 m/s2. this means the object is
traveling at 2.0 m in every second.
traveling at 2.0 m/s in every second.
changing its velocity by 2.0 m/s.
increasing its velocity by 2.0 m/s in every second.

Explanation:

Step1: Recall the definition of acceleration

Acceleration \(a=\frac{\Delta v}{\Delta t}\), where \(\Delta v\) is the change in velocity and \(\Delta t\) is the change in time.

Step2: Analyze each option

• Option 1: “traveling at \(2.0\ m\) in every second” is about distance per second (related to speed, not acceleration).
• Option 2: “traveling at \(2.0\ m/s\) in every second” is a wrong description. Velocity is \(m/s\), but acceleration is change in velocity per unit time.
• Option 3: “changing its velocity by \(2.0\ m/s\)” does not mention the time interval. Acceleration is change in velocity per unit time.
• Option 4: Given \(a = 2.0\ m/s^{2}\), from \(a=\frac{\Delta v}{\Delta t}\), when \(\Delta t = 1\ s\), \(\Delta v=a\times\Delta t\). So \(\Delta v=2.0\ m/s\) (since \(a = 2.0\ m/s^{2}\) and \(\Delta t = 1\ s\)), which means increasing its velocity by \(2.0\ m/s\) in every second.

Answer:

increasing its velocity by \(2.0\ m/s\) in every second.