Height of pier above water- projectile motion

[dani123]

Homework Statement

A swimmer moving at 1.80m/s, dives off a pier and hits the water 0.80m from the edge of the pier. How high is the pier above the water?

Homework Equations

dv=1/2*at²
dh=Vh*Δt
a=9.8

The Attempt at a Solution

dh=0.80m
Vh=1.80m/s
dv=?
t=?

First started by solving for Δt in the dh=Vh*Δt equation and found that Δt=0.44s

Then I plugged it into the dv=1/2*at² equation

dv=0.97m

I would like for someone to just verify that my answers are correct and the significant figures are being respected. Thanks in advance!

 

[BruceW]

yep, all correct. very good.