Given s = 10 - 10t2 + 45t3, determine the velocity when t = 1 s.

Question

velocity in m/s =

My Answer
S'= 0-20t + 135t^2
S'(1) = -20+135 = 115

velocity in m/s = 115

Can you please confirm this is correct.

Thanks!

Answer 1

S = 10 - 10t^2 + 45t^3.
S = 10 - 10*1 = 45*1 = 45 s.

NOTE: 1^2 = 1*1 = 1.
1^3 = 1*1*1 = 1.

Answer 2

OOPS! I didn't realize you were doing calculus.

Your calculus is correct.