The height "s" at time of a silver dollar dropped from a building is given by s(t) = -16t^2 + 1350, where "s" is measured in feet and "t" is measured in seconds [s'(t) = -32t]
a) Find the average velocity on the interval [1,2]. ( I ALREADY SOLVED)
b) Find the instantaneous velocity when t=1 and t=2. (I ALREADY SOLVED)
c) How long will it take to hit the ground?
Not sure about this one. Here's what I did: t=sqrt of 1350/16 ≈ 9.2
d) Find the acceleration of this object at any given point in time.
Not sure about this one. Here's what I did:
v(t) = s'(t) = -32t.
e) What's the velocity of this object when it hits the ground? (Really have no idea how to find it)
Thanks in advance! I really need to learn how to do this type of problem for my upcoming quiz.