SOLUTION: On Christmas day 2007 a tiger leapt from its enclosure at San Francisco Zoo. Official guidelines said a wall to contain tiger's should be 5 metres high. The zoo's wall was only 3.8

Question 986260: On Christmas day 2007 a tiger leapt from its enclosure at San Francisco Zoo. Official guidelines said a wall to contain tiger's should be 5 metres high. The zoo's wall was only 3.8 metres high but the tiger also had to jump a 10 metre moat. The tiger could run at the moat before leaping at the wall (curved path) . With a 5 metre run-up, tigers reach 14 metres per second at take-off. This formula calculates how fast an animal has to be moving to be able to leap over a moat AND a wall.
V=sqrt(9.8(h+sqrt(h^2+w^2))
where V=takeoff speed, h=height of wall w=width of moat.
i) Would the tiger have been able to leap over a wall 5 metres high if I was running at 14 metres per second? (You must support your answer with calculations using the formula).
ii) If it wasn't possible to make the wall higher than 3.8 metres, then you could make the moat wider. By rearranging the equation to make w the subject calculate how wide a moat is needed to contain a tiger running at 14 metres per second?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
V=takeoff speed; h=height of wall; w=width of moat.
.

.
1) Would the tiger have been able to leap over a wall 5 meters high if it was running at 14 meters per second? (moat=w=10 meters)
.

Square both sides

ANSWER: Running at 14 m/s, the tiger could jump over a 10 meter moat and a wall 7.5 meters high.
.
2) How wide must the moat be to contain a tiger running at 14 meters per second?
.

.
For V=14 m/s and h=3.8 m:
.

.
or approximately 16.97 meters
.
ANSWER: With a 3.8 meter wall, the moat must be 16.97 meters wide to contain the tiger.

RELATED QUESTIONS
Two truckers leave San Francisco at the same time. They take 10 and 28 days,... (answered by ikleyn,ankor@dixie-net.com,saw)

Two vacationing families leave San Francisco at the same time. They take 28 and 6 days,... (answered by ikleyn)

a telephone poll of 758 Arizona adults who celebrate Christmas. Question asked was do you (answered by stanbon)

Every day at noon a ship leaves San Francisco for Tokyo, and at the same instant a ship... (answered by ikleyn)

A Jet flew from Montreal to San-Francisco, a distance of 4000 km. On the return trip the (answered by drk)

a jet made a 3600 mile trip from san francisco to washington dc in 4 hours, 52 min. on a... (answered by richwmiller)

A voyage from New York to San Francisco takes 6 months. One boat leaves each port (New... (answered by ewatrrr)

If a bullet train, traveling from san francisco to san diego, at an average speed of thee (answered by Alan3354)

When it is noon eastern standard time (EST) in New York City, it is 9:00 AM. Pacific... (answered by Alan3354)