Question

Check my answer:
Suppose a coin is dropped from the top of the Empire State building in New York, which is 1, 454 feet tall. The position function for free-falling objects is: s(t) = −16t2 + v0t + s0.

Find the velocity of the coin just before it hits the ground.
Set -16t^2 + 1454 = 0, solve for time
-32(9.5)= -304ft/s
Result: About 9.5 seconds

Answer 1

v0=0
s0=1,454

s(t)=-16t^2+1454

t=9.53

s'(t)=v(t)=-32t

The object hits the ground at 9.53, so plug that in to find the velocity at that t-value.

v(9.53)=-304.96

Answer 2

is it negative 32t?

Answer 3

Yes ma'am :)