A stressed physics student takes a break from labs and goes up to the roof of the lab sciences building. Standing next to the edge of the roof, the student tosses a ball upward at
2.81(m)/(s)
from chest height - some
1.47m
above the roof - but misses catching it on its way back down. The ball then hits the ground
2.64s
after being tossed. Given the time spent in the air, how tall (in
m
) is the lab sciences building - that is, what's the distance from ground to roof?

Question

A stressed physics student takes a break from labs and goes up to the roof of the lab sciences building. Standing next to the edge of the roof, the student tosses a ball upward at

2.81(m)/(s)

from chest height - some

1.47m

above the roof - but misses catching it on its way back down. The ball then hits the ground

2.64s

after being tossed. Given the time spent in the air, how tall (in

m

) is the lab sciences building - that is, what's the distance from ground to roof?

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