5. 16t2 gives the distance in feet a free-falling object falls in t seconds.

16t2 + 10t gives the distance an object falls in t seconds when it is thrown down with an initial velocity of 10 feet per second. Use this polynomials to:

a. Find how far a wallet dropped from the 86th-floor observatory of the Empire State Building will fall in 5 seconds.

d = 16t^2.

t = 5 seconds.
d is in feet.

16t^2 + 86t=16 x 5^2 +86 x 5=830

To find the distance a wallet dropped from the 86th-floor observatory of the Empire State Building will fall in 5 seconds using the given polynomial 16t^2, we can substitute the value of t as 5 into the equation and solve for the distance.

Substituting t = 5 into the equation, we have:

Distance = 16 * (5)^2
= 16 * 25
= 400 feet

Therefore, the wallet will fall 400 feet in 5 seconds.