Asked by Grace

A person runs off a 10.0-meter high balcony in a horizontal direction at 5.0 m/s. The swimming pool is at ground level 5.5 meters away from the edge of the balcony. Will the person reach the pool?

Assume no air resistance.

*I'm having trouble with this question. I've tried using the formulas our teacher gave us but I don't know where to begin on this.
Answered by Steve
how long does it take to fall 10 meters?

4.9t^2 = 10

The horizontal speed stays constant, so using the value of t calculated above, how far does he go? If less than 5.5 meters, he's gonna break something...
Answered by Grace
So t= 2.21 s?

I'm confused on if there is a specific formula I need to use or not?
Answered by Steve
surely by now you know that

distance = speed * time
Answered by Grace
Oh yes, I do know that. I think I was just overthinking it because I saw the 'assume no air resistance', that always trips me up.

I got d= 11.05 m
Answered by Grace
I just realized I messed up when I was calculating the time.

After going back and fixing it, I got that d= about 7.1 m. So if this is correct, then yes the person will reach the pool.
Answered by Steve
good work
Answered by Grace
Thank you so much!
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