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
Algebra.Com
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
RELATED QUESTIONS
lauren dove into a swimming pool from a 15-foot-high diving board with an intitial upward (answered by ankor@dixie-net.com)
lauren dove into a swimming pool from 15 foot high diving board with an initial velocity... (answered by ankor@dixie-net.com)
In July of 1997, the first cliff diving world championships were held in Brontallo,... (answered by Greenfinch)
A frog jumps straight up off the ground with an initial vertical velocity of 2 feet per... (answered by KMST)
You jump off a diving board with an initial vertical velocity of 15 ft/sec. If the diving (answered by solver91311)
A man jumps off a diving board into a pool. The equation h(t)=16T^2 + 40 gives the... (answered by Alan3354)
A person springs off a 12 foot high diving board with a 0.0 initial velocity. How many... (answered by Nate)
A boy steps off a 17.6 foot high diving board with no initial vertical velocity, obeying... (answered by ankor@dixie-net.com)
1. A person dives from a 30 foot platform with an initial velocity of
> 5 feet per... (answered by jenrobrody)