Projectile Motion Analysis: Golf Ball Speed, Distance, and Height

[cahp19]

Homework Statement

A golf ball is struck at ground level. The speed of the golf ball as a function of time is shown in the figure below, where t = 0 at the instant the ball is struck. The graph is marked in increments of 0.55 s along the time axis, and vmin = 18.92 m/s and vmax = 32.93 m/s. (Values in figure do not necessarily match values in problem).

This graph is then provided:

a) How far does the golf ball travel horizontally before returning to ground level?
b) What is the maximum height above the ground level attained by the ball?

Homework Equations

I'm not sure, because each applicable equation I find has the need for a theta in it.

The Attempt at a Solution

I can't even find a working equation.

Thanks a lot!

 

[gneill]

What values can you pick out from the given information? List them.
(Hint: some may require looking for points of interest on the graph and measuring/deducing values).

 

[cahp19]

What values can you pick out from the given information? List them.
(Hint: some may require looking for points of interest on the graph and measuring/deducing values).

The points that I am able to get from the graph are:
t(0)= 32.93 m/s
t(2.75)= 18.92 m/s
t(5.5)= 32.93 m/s

 

[zgozvrm]

You also know the total time the ball is in flight.

Plus what does the value of Vmin=18.92 m/s tell you about the vertical and/or horizontal velocity at that time?