Question

when divided by ( \triangle t ), ( (v_f - v_i) ) is used to determine which characteristic?

○ direction

○ acceleration

○ displacement

○ speed

Explanation:

To determine the characteristic, we recall the formula for acceleration. Acceleration \(a\) is defined as the change in velocity (\(v_f - v_i\), where \(v_f\) is final velocity and \(v_i\) is initial velocity) divided by the change in time (\(\triangle t\)). The formula is \(a=\frac{v_f - v_i}{\triangle t}\). Direction is related to velocity's vector, displacement is related to position change, and speed is a scalar of velocity. So \(\frac{v_f - v_i}{\triangle t}\) gives acceleration.

Answer:

B. acceleration