Question

Time = (Final Velocity - Initial Velocity) + Acceleration1.Jeff is chasing his brother running 12 m/s. He speeds up to 21 m/s over 15 seconds.What is his acceleration?

Answer 1

the acceleration is 0.6 m/s^2

Step-by-step explanation

the acceleration of an object is given by

`\begin{gathered} a=(v_f-v_i)/(t) \\ where \\ a\text{ is the acceleration} \\ v_f\text{ is the final velocity} \\ v_i\text{ is the initial velocity} \\ t\text{ is the time taken} \end{gathered}`

so

Step 1

a)let

`\begin{gathered} initial\text{ velocity=v}_i=12(m)/(s) \\ final\text{ velocity =21}(m)/(s) \\ time\text{ = 15 seconds} \end{gathered}`

b) now, replace in the formula

`\begin{gathered} a=(v_(f)-v_(i))/(t) \\ a=(21(m)/(s)-12(m)/(s))/(15s) \\ a=\frac{9(m)/(s)}{15\text{ s}} \\ a=0.6(m)/(s^2) \\ \end{gathered}`

therefore, the acceleration is 0.6 m/s^2

I hope this helps you