A pinecone drops from a tree branch that is 20 feet above the ground. The function h = –16t2 + 20 is used. If the height h of th
e pinecone is in feet after t seconds, at about what time does the pinecone hit the ground?
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Answer:
   t ≈ 1.118 . . . seconds
Step-by-step explanation:
Set h=0 and solve for t.
   0 = -16t^2 +20
   0 = t^2 -20/16 . . . . . . . . . . . . . . . divide by the coefficient of t^2
   t = √(5/4) = (1/2)√5 ≈ 1.118 . . . . . add 5/4 and take the square root
The pinecone hits the ground about 1.12 seconds after it drops.
 
                                
             
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