Question

Please give a thorough explanation

Answer 1

• 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

Answer 2

3 meters per minute

Explanation:

`s \xrightarrow{\textsf{differentiate}} v \xrightarrow{\textsf{differentiate}} a`

`s \xleftarrow{\textsf{integrate}} v \xleftarrow{\textsf{integrate}} a`

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

`s(t)=3t+13`

`\implies v(t)=(ds)/(dt)=3`

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