Respuesta :

snorlaxventures
Given the position function
s(t) = 7 - 14t

The instantaneous velocity is the derivative the the position function:
s'(t) = v = - 14

The velocity in an instant in time is 14 m/s in the opposite direction.

Answer:

The velocity of the object is 14m/s in opposite direction for any value of t.

Step-by-step explanation:

The position of an object at time t is given by

[tex]s(t)=7-14t[/tex]

Differentiate with respect to t.

[tex]s'(t)=0-14(1)[/tex]

[tex]s'(t)=-14[/tex]

We know that the change in displacement with respect to time is known as velocity.

[tex]v(t)=-14[/tex]

Therefore the velocity of the object is 14m/s in opposite direction for any value of t.

Otras preguntas

Q&A Education