The position of an object at a time t is given by s(t)=-4-2t. find the instantaneous velocity at t=6 by finding the derivative

Velocity, s'(t)=-2

Step-by-step explanation:

It is given that,

The position of an object at time t is given by following equation :

We need to find the instantaneous velocity. We know that velocity is given by :

or

So, the instantaneous velocity at t = 6 seconds is -2 m/s i.e. s(6) = -2 Hence, this is the required solution.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2