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

Question

misty1212 · Answer

HI!!!

misty1212 · Answer

it is a line right?

misty1212 · Answer

rate of change = slope is all
derivatives or otherwise

anonymous · Answer

Yes it's a line!

misty1212 · Answer

the slope is $-2$ right?

anonymous · Answer

@misty1212 after u done help me with my problem plz!

misty1212 · Answer

the $t=6$ part got nothing to do with it 
slope is a constant

misty1212 · Answer

@qwertyboy56  sorry i don't know any geometry

anonymous · Answer

Okay but what does slope have to do with it?

misty1212 · Answer

the slope is the rate of change
that is what you are being asked for

misty1212 · Answer

Find the instantaneous velocity = rate of change
for a line, derivative = slope

anonymous · Answer

Are you sure? Not doubting you, but it just seems too easy.

misty1212 · Answer

it is easy yes i agree

misty1212 · Answer

you can take the derivative if you like
you will get $-2$

perl · Answer

s ' (t) =-2  for any t 
therefore 
s ' (6) = -2