contestada

The position of a particle moving along the x-axis is given by s(t)=5t2+3. Use difference quotients to find the velocity v(t) and acceleration a(t)."
Since Chegg does not have a solution for this problem, I'd like to check my answers. I got v(t) = 10t and a(t) = 10.

Respuesta :

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.

Otras preguntas