The position of an object at time t is given by s(t) = 1 - 10t. Find the instantaneous velocity at t = 10 by finding the derivative. show work

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Answer:

[tex]-10ms^{-1}[/tex]

Step-by-step explanation:

The position function is [tex]s(t)=1-10t[/tex].

The instantaneous velocity at t=10 is given by:

[tex]s'(10)[/tex].

We first of all find the derivative of the position function to get:

[tex]s'(t)=-10[/tex]

We now substitute t=10 to get:

[tex]s'(10)=-10[/tex]

Therefore the instantaneous velocity at t=10 is -10m/s