Question

calculating velocity position vs time based on the information presented in the graph, what is the velocity of the object? m/s

Explanation:

Step1: Recall velocity formula

Velocity \( v \) is the slope of the position - time graph, given by \( v=\frac{\Delta x}{\Delta t}=\frac{x_2 - x_1}{t_2 - t_1} \).

Step2: Identify two points on the graph

From the graph, when \( t_1 = 0\space s \), \( x_1=3\space m \); when \( t_2 = 4\space s \), \( x_2 = 15\space m \).

Step3: Calculate the change in position and time

\(\Delta x=x_2 - x_1=15 - 3 = 12\space m\) and \(\Delta t=t_2 - t_1=4 - 0 = 4\space s\).

Step4: Calculate velocity

Using the formula \( v=\frac{\Delta x}{\Delta t} \), we substitute the values: \( v=\frac{12}{4}=3\space m/s \).

Answer:

\( 3 \)