SOLUTION: A diver jumps off a 20 foot high diving board with an initial upward velocity of 4 feet per second. Use the vertical motion model n= -16t^2+ vt+ s.
A. Use the information above
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-> SOLUTION: A diver jumps off a 20 foot high diving board with an initial upward velocity of 4 feet per second. Use the vertical motion model n= -16t^2+ vt+ s.
A. Use the information above
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Question 485490: A diver jumps off a 20 foot high diving board with an initial upward velocity of 4 feet per second. Use the vertical motion model n= -16t^2+ vt+ s.
A. Use the information above to model the vertical motion of the diver.
B. Find the solution by factoring the model you found in part (a).
C. Explain why only one of the solutions is reasonable. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! A diver jumps off a 20 foot high diving board with an initial upward velocity of 4 feet per second. Use the vertical motion model n= -16t^2+ vt+ s.
A. Use the information above to model the vertical motion of the diver.
n= -16t^2+ vt+ s
here,
'v' is the initial velocity (4 ft/sec)
's' is the initial height (20 ft)
giving you
h= -16t^2+ 4t+ 20
.
B. Find the solution by factoring the model you found in part (a).
0= -16t^2+ 4t+ 20
0= -4t^2+ t+ 5
0= 4t^2- t- 5
0= (4t-5)(t+1)
t = {5/4, -1}
.
C. Explain why only one of the solutions is reasonable.
since t represents 'time' a negative value doesn't make sense (can't have -1 seconds) therefore the only solution is 5/4 seconds
