Question

the velocity of a particle is given in the graph above for 0 ≤ t ≤ 11. how many times on the interval does the particle change directions?

Explanation:

Step1: Understand the concept of direction change

A particle changes direction when its velocity changes sign (from positive to negative or vice - versa). This occurs when the velocity - time graph crosses the \(t\) - axis.

Step2: Count the number of times the graph crosses the \(t\) - axis

Looking at the velocity - time graph \(v(t)\) for \(0\leq t\leq11\), we observe that the graph crosses the \(t\) - axis \(2\) times.

Answer:

\(2\)