Answer:
5.1m
Step-by-step explanation:
Use the fourth key equation of accelerated motion
vf^2=vi^2+2aΔd
we know vf is = 0 because that is when the ball reaches it's peak (not going up anymore)
0=vi^2+2aΔd
and we can rearrange for Δd, which is what you need
-vi^2=2aΔd
Δd = -vi^2/2a
Now we can plug in the values
Δd = -vi^2/2a
Δd = -(10m/s)^2/2(-9.8)
Δd = -100/-18.6
Δd = 5.10m