Question

interpreting velocity vs time graphs
velocity vs time
use the graph to determine acceleration and velocity.
which segments show acceleration?
what is the velocity of segment b?

Explanation:

Step1: Recall the formula for acceleration

Acceleration \(a=\frac{\Delta v}{\Delta t}\). If \(\Delta v
eq0\) (change in velocity), there is acceleration.

• For segment A: The velocity is changing (from \(0\) to \(40\) m/s). So, \(a = \frac{40 - 0}{4-0}=10\space m/s^{2}\) (non - zero acceleration).
• For segment B: The velocity is constant (\(\Delta v = 40-40 = 0\)). So, \(a=\frac{0}{\Delta t}=0\) (no acceleration).
• For segment C: The velocity is changing (from \(40\) to \(0\) m/s). So, \(a=\frac{0 - 40}{10 - 9}=- 40\space m/s^{2}\) (non - zero acceleration).

Step2: Determine the velocity of segment B

From the graph, we can directly read the velocity value. The \(y\) - axis (velocity axis) for segment B has a constant value.

Answer:

Segments A and C show acceleration. The velocity of segment B is \(40\space m/s\).