Question

How do I find acceleration when velocity is 0? also assume t is >= 0 s is meters t is seconds

Answer 1

a(t) = 18 m/s^2

Step-by-step explanation

We are given that:

`\begin{gathered} v(t)=3t^2\text{ - 27} \\ a(t)\text{ = }6t \end{gathered}`

b) To find the acceleration when velocity is 0, we have to find the time at which the velocity is 0.

After finding that, we then find the value of a(t) at that time.

To find the time when velocity is 0, we make v(t) = 0 and find t.

That is:

`\begin{gathered} 0=3t^2\text{ - 27} \\ \Rightarrow3t^2\text{ = 27} \\ \text{Divide through by 3:} \\ t^2\text{ = }(27)/(3) \\ t^2\text{ = 9} \\ t\text{ = }\sqrt[]{9} \\ t\text{ = 3 seconds} \end{gathered}`

Now, we find the value of a(t) when t = 3:

a(t) = 6 * (3)

a(t) = 18 m/s^2

That is the answer.