What is the average launch speed?

AI Thread Summary
To determine the average launch speed of a basketball launched horizontally from a diving board 4.50 m above water, the vertical motion must be analyzed. The time of flight can be calculated using the equation for vertical motion, y = y1 + v1t - (1/2)gt^2, where g is the acceleration due to gravity. The initial vertical velocity is zero since the launch is horizontal. Once the time of flight is determined, the average speed can be found by dividing the horizontal distance (6.25 m) by the calculated time. Understanding the relationship between vertical motion and horizontal distance is crucial for solving the problem.
Angela_vaal
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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
 

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Angela_vaal said:
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?
 
haruspex said:
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?
 
Angela_vaal said:
would I calculate time using the formula y=y1+v1t-(1/2)gt^2?
What do you think?
 
haruspex said:
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.
 
Angela_vaal said:
I don't have the initial velocity.
You just need the initial vertical component of velocity:
Angela_vaal said:
launch the basketball horizontally
 
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