Question

when divided by \\( \triangle t, (v_{f}-v_{i}) \\) is used to determine which characteristic?

o acceleration

o speed

o direction

o displacement

Explanation:

Step1: Recall the formula for acceleration

The formula for acceleration \(a\) is \(a=\frac{v_{f}-v_{i}}{\Delta t}\), where \(v_{f}\) is the final velocity, \(v_{i}\) is the initial velocity, and \(\Delta t\) is the time interval.

Step2: Analyze the given expression

The given expression \(\frac{v_{f}-v_{i}}{\Delta t}\) matches the formula for acceleration.

Step3: Compare with other options

• Speed is \(v = \frac{d}{t}\) (where \(d\) is distance and \(t\) is time).
• Direction is a vector property not calculated by \(\frac{v_{f}-v_{i}}{\Delta t}\).
• Displacement \(\Delta x\) is related to velocity - time graph (area under the curve) not \(\frac{v_{f}-v_{i}}{\Delta t}\).

Answer:

acceleration