Question

Cleo and Clare are looking from their balcony to swimming pool below that is located 15 m horizontally from the bottom of their building. They estimate the balcony is 45 m high and wonder how fast they would have to jump horizontally to succeed in reaching the pool. What calculations would you show to help them determine the answer? Evaluate the practically of their being able to succeed at jumping into the pool.

Answer 1

Please can anyone help me with this problem . I will madel for great solver lol.

Answer 2

As C&C leave the balcony, they would have 2 parts of their motion: horizontal and vertical. You can (should) solve those two parts separately -- first, how long will it take something to fall 45m straight down? When you know this time in seconds, you can figure out how fast to go so that C&C can make it 15m before their time-to-fall runs out.

Answer 3

As a 'voice of reason' it should be noted that the world high diving competition is held from 27m high

NOBODY should consider diving from 45m 'balcony'

Answer 4

@MrNood :
Agreed. I really didn't like my odds of getting the groundspeed to make it to the water, anyway.

Answer 5

I make the drop time = 3s

horixantal distanc = 15m
therefore required horizontal take of speed = 5m/s (approx 10mph)

I think that is achievable by sprinters - but not if they've got to clear a balcony rail on the way! :-)

Answer 6

I had the same answers, that 5 m/s is 11.2 mph, but using mph at the speed runners use can give large variations in the answer. The reciprocal unit, minutes per mile, is more human-friendly. It's a 5:21-minute mile, and I don't think I was THAT fast at 18 years old.

Answer 7

Thanks dear .

Answer 8

@mjdennis

BUT - you do not need to persist fro 1 mile

100m sprinters AVERAGE 10m/s - so their max speed is much more than that.

I am sure a reasonably fit person COULD reach 5m/s over a short distance