SOLUTION: A construction worker drops a hammer from the height of 50 feet. After how many seconds will the hammer land on the ground? Round your answer to the nearest hundredth. A) 0.63 se

Algebra ->  Equations -> SOLUTION: A construction worker drops a hammer from the height of 50 feet. After how many seconds will the hammer land on the ground? Round your answer to the nearest hundredth. A) 0.63 se      Log On


   

Question 732052: A construction worker drops a hammer from the height of 50 feet. After how many seconds will the hammer land on the ground? Round your answer to the nearest hundredth.
A) 0.63 sec
B) 1.77 sec
C) 2.00 sec
D) 5.00 sec
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of motion is:
+h%28t%29+=+-16t%5E2+%2B+50+
You want to know in how many seconds
the hammer will be at +h%28t%29+=+0+ ft,
which is the ground.
+0+=+-16t%5E2+%2B+50+
+16t%5E2+=+50+
+t%5E2+=+25%2F8+
+t%5E2+=+3.125+
+t+=+sqrt%28+3.125+%29+
+t+=+1.77+ sec
answer:: (B)