Answer:
[tex]v(t) = 10t[/tex]
[tex]a(t) = 10[/tex]
Step-by-step explanation:
The velocity is the derivative of the position.
The acceleration is the derivative of the velocity.
In this problem, we have that:
[tex]s(t) = 5t^{2} + 3[/tex]
Looking at the derivative table, the derivative of [tex]a*t^{n}[/tex] is [tex]a*n*t^{n-1}[/tex] and the derivative of a constant is 0.
So:
[tex]v(t) = s'(t) = 10t[/tex]
[tex]a(t) = v'(t) = 10[/tex]
Your answers are correct.
