Question
The distance meters from a fixed point O, covered by a particle after t seconds given by the equation; S = t3 – 6t2 + 9t + 5.
(a) Calculate the gradient to the curve at t = 0.5 seconds
(b) Determine the values of sat the maximum and minimum turning points of the curve
(a) Calculate the gradient to the curve at t = 0.5 seconds
(b) Determine the values of sat the maximum and minimum turning points of the curve
Answers
Steve
dS/dt = 3t^2-12t+9
for max/min, find t when dS/dt = 0
for max/min, find t when dS/dt = 0