The position of an object at time t is given by s(t) = -9 - 3t. find the instantaneous velocity at t = 8 by finding the derivative.

Hello! There are a few ways to find the derivative. One famous formula is below:

Note, t = x = 8

To find the derivative of s(t) = -9 - 3t let insert it into our formula:

Insert x = 8

Do the Math

Group Like Terms

Cancel Terms and Finish Doing The Math

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So when t = 8 the instantaneous velocity = -3

y=mx+b

step-by-step explanation:

m slope

b y-intercept

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47