What is the average launch speed?

[Angela_vaal]

Homework Statement

During several practice runs you stand at the end of a diving board and launch the basketball horizontally from a position 4.50 m above the water. If the average landing spot is6.25 m horizontally from your initial position, what is the average launch speed?

Homework Equations

The Attempt at a Solution

avg speed=total distance/total time. but time is not stated? where do i start ?! i attached the photo of the problem

 

[haruspex]

where do i start ?

By thinking about the vertical motion. What do you know about the vertical components of initial and final speeds, time, distance and acceleration? From the items you know, what else can you calculate?

 

[Angela_vaal]

By thinking about the vertical motion. What do you know about the vertical components of initial and final speeds, time, distance and acceleration? From the items you know, what else can you calculate?

would I calculate time using the formula y=y1+v1t-(1/2)gt^2?

 

[haruspex]

would I calculate time using the formula y=y1+v1t-(1/2)gt^2?

What do you think?

 

[Angela_vaal]

What do you think?

I'm thinking I have to calculate time somehow to get the average speed. But if i use this equation, I'm not sure how I will use this equation if I don't have the initial velocity.

 

[haruspex]

I don't have the initial velocity.

You just need the initial vertical component of velocity:

launch the basketball horizontally