Question

if v-t is a horizontal line at 8 m/s, acceleration is;
options: cannot tell, -8 m/s², 0 m/s², 8 m/s²

Explanation:

Step1: Recall acceleration formula

Acceleration \( a \) is the rate of change of velocity, so \( a = \frac{\Delta v}{\Delta t} \), where \( \Delta v \) is change in velocity and \( \Delta t \) is change in time.

Step2: Analyze v - t graph

A horizontal v - t line means velocity \( v \) is constant (8 m/s). So \( \Delta v = 8 - 8 = 0 \) (for any \( \Delta t \)).

Step3: Calculate acceleration

Substitute into \( a=\frac{\Delta v}{\Delta t} \), we get \( a=\frac{0}{\Delta t}=0 \, \text{m/s}^2 \) (since \( \Delta t
eq0 \)).

Answer:

0 m/s² (corresponding to the option with "0 m/s²")