Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

acceleration is represented as $vec{a}$. complete the statements. an ob…

Question

acceleration is represented as $vec{a}$. complete the statements. an object with velocity has $vec{a}=0$, an object with velocity has $vec{a}
eq0$.

Explanation:

Step1: Recall acceleration - velocity relationship

Acceleration is the rate of change of velocity. If velocity is constant, there is no change in velocity over time.

Step2: Determine when acceleration is zero

When an object has constant velocity (no change in speed or direction), the acceleration $\vec{a}=0$ because $\vec{a}=\frac{\Delta\vec{v}}{\Delta t}$, and if $\Delta\vec{v} = 0$ (constant velocity), then $\vec{a}=0$.

Step3: Determine when acceleration is non - zero

When an object has changing velocity (either a change in speed, direction, or both), $\Delta\vec{v}
eq0$. So, $\vec{a}=\frac{\Delta\vec{v}}{\Delta t}
eq0$.

Answer:

An object with constant velocity has $\vec{a}=0$, An object with changing velocity has $\vec{a}
eq0$.