Question

s = 6sint - cost ; t = Pi/4 equation gives the poisition s= f(t) of a body moving on a coordinate line s in meters, t in seconds. find the bodys velocity at time t = pi/4

Answer 1

i think you have to find the derivative of f=6sint-cost and then plug f ( Pi/4) into the equation.

Answer 2

so the derivative would be 6cost +sint

Answer 3

makes sense, thanks man!

Answer 4

no prob but keep the question open. Just in case i might be wrong, what i would do next is s(pi/4)=6(cospi/4)+(sinpi/4)
with a final velocity of [7sqroot(2) ]/2 m/s