Suppose the position of a function for a free falling object on a certain plane is given by s(t)=-11t^2+v0t+s0. A silver coin is dropped from the top of the building that is 1380 feet tall.

a) find the instantaneous velocity of the coin at t=3 seconds.
b) find the acceleration at t=3 seconds.

Question

Suppose the position of a function for a free falling object on a certain plane is given by s(t)=-11t^2+v0t+s0. A silver coin is dropped from the top of the building that is 1380 feet tall.

a) find the instantaneous velocity of the coin at t=3 seconds.
b) find the acceleration at t=3 seconds.

anonymous · Answer

Can you take the first and second derivative?

anonymous · Answer

s'(t)=v(t)=-22t

?

anonymous · Answer

v(3)=-22(3)=-66

anonymous · Answer

not sure if i took the derivative right though

anonymous · Answer

I think the position function is

$$-16t^2 + V_0t + S_0$$

You were given the initial position of the coin, but what was the initial velocity of the coin?

anonymous · Answer

S'(t) would be -32t + the constant of V

But you didn't give V.