Question

calculus help pic below

Answer 1

Either use wolram alpha or take the derivative and set it equal to zero. That will tell you the x-value at the max then you can plug that back into the original velocity equation to get the max velocity

Answer 2

Position would be the integral of velocity.

position' = velocity, velocity'=acceleration, position"=acceleration

Answer 3

not sure about c. Part d I'm not sure if that's in terms of velocity or position

Answer 4

for part b is it integral or derivative?