Question

i need someone to check my work!
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.

Answer 1

my answer:
ds/dt=v
s(t) = 1 - 10t
ds/dt= d(1-10t)/dt
d(1-10t)/dt = d(1)/dt - d(10t)/dt
=0-10=-10

Answer 2

@sweetsunray

Answer 3

Indeed you are correct, since the derivative just comes out to be a constant (-10) that will be your instantaneous velocity at any time

Answer 4

perfect wade!

Answer 5

great job