Answer to Question #255363 in Algebra for Ant

Question

. How long will it take the tool to fall to the ground? (Hint: use the first

equation that you were given above, 2

0 ht t h ( ) 16 =− + . For the building’s

height, use the height of the building that you estimated in Task 1.) 

Answer 1

h(t)=-16t²+h₀, we are given height of the building is 70ft,so at 0, h(t)=70,so we can use it h(0)=70, h(0)=-16(0)²+h₀ $\therefore$ 70=-16(0)²+h₀ so h₀=70. Now we can plug it back so we can set h(t)=0 and then we can solve for t , h(t)=-16t²+70, t²=35/8 $\therefore$ t= 2.09165