Question

If h(t) represents the height of an object above ground level at time t and h(t) is given by: h(t)=-16t^2+14t+1

find the speed at time t=0.

Answer 1

this is physics. use that forum.

Answer 2

im learning this in calculus

Answer 3

oh cool. calc AB or BC. that determines how to do this.

Answer 4

idk. its my first calc class. its the intro course.

Answer 5

uhhh... do you know how to differentiate? or take limits?

Answer 6

we just started doing that in class. not too keen on it yet.

Answer 7

ok so the derivative of position is velocity because the "change" in position is velocity.
so differentiate h(x)

Answer 8

i dont know what it means to differentiate

Answer 9

i thought you just plug in for T?

Answer 10

ok do you know how to:
1) take a derivative
2) find a limit?
which one do you know...basically what are you doing in class now?

Answer 11

we just started derivatives and limits...
we've mainly been doing rate of change where you plug in something in the function.

Answer 12

eh. you have to take the derivative of that.. or just use the limit definition of the derivative to take the derivative...you need to do one.

Answer 13

can you show me how to do that?

Answer 14

v(t) = dh/dt = -32t + 14

Answer 15

v(0) = 0 + 14

Answer 16

Therefore , Answer = 14

Answer 17

ok so the derivative of something is taking the 2 from the square and multiplying it by the coefficient... what happened to the +1 at the end of the function?

Answer 18

derivative of a constant = 0

Answer 19

think of it as 1*t^0