Question

h=.5cos(2t) where t is time in seconds and h height in feet, is the instantaneous velocity t=2 greater than or less than .76?

Answer 1

velocity is dh/dt

dh/dt = -2(.5) sin(t) = -sin(t)

at t=2, -sin(2) = -.909 < .76

Answer 2

oh it doesnt want me to use derivatives or limits

Answer 3

how can you find the instantaneous velocity then?

Answer 4

i first started making a table and taking the average velocity at points closer and closer to 2

Answer 5

yeah and as you get closer and closer to 2 the limit of the slope or velocity is the derivative

Answer 6

well the way i was doing i didnt technically use a derivative or limit
i just dont think i was doing it right

Answer 7

this is what i was doing

Answer 8

here is what it should look like

Answer 9

thank you very much