Respuesta :

Answer:

3 meters per minute

Step-by-step explanation:

[tex]s \xrightarrow{\textsf{differentiate}} v \xrightarrow{\textsf{differentiate}} a[/tex]

[tex]s \xleftarrow{\textsf{integrate}} v \xleftarrow{\textsf{integrate}} a[/tex]

Velocity is the rate of change of displacement, therefore to find the equation for velocity, differentiate the given equation for displacement:

[tex]s(t)=3t+13[/tex]

[tex]\implies v(t)=\dfrac{ds}{dt}=3[/tex]

Therefore, the velocity is constant at 3 meters per minute (so there is no need to calculate average velocity over an interval).

  • s(t)=3t+13

As velocity is rate of change in displacement with respect to time

  • Differentiate s(t)

Velocity

  • v=ds/dt
  • v=d/dt(3t+13)
  • v=3m/min

No t has left so

  • v is constant

hence average velocity is also same 3m/min irrespective of any intervals