Question

during a race, a runner runs at a speed of 6 m/s. 2 seconds later, she is running at a speed of 10 m/s. what is the runner’s acceleration? a. a. 8 m/s2 forward b. 2 m/s2 forward c. 12 m/s2 forward d. 3 m/s2

Answer 1

The runner's acceleration is 2 m/s². Alternative B is correct.

To solve this MRUV exercise, we apply the following formula:

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_f=V_o+a* t} \end{gathered}$} }`

Where:

• Vf is the final speed
• Vo is the initial velocity
• a is the acceleration
• t is the time

In this case:

• V₀ = 6 m/s
• Vf = 10m/s
• t = 2 s

The formula for acceleration is:

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{a=(V_f-V_o)/(t) } \end{gathered}$} }`

Where:

• a is the acceleration
• Vf is the final speed
• Vo is the initial velocity
• t is the time

Substituting the known values into the formula, we get:

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{a=(10 \ (m)/(s)-6 \ (m)/(s) )/(2 \ s) } \end{gathered}$} }`

`\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{a= 2 \ Meters\:per\:second\:squared\:(m/s^2) } \end{gathered}$} }}`

The runner's acceleration is 2 m/s².