Question

Problem 68

Answer 1

Given information

Basketball leaves the player's hand at a height of above the floor.

The basket is above the floor.

Players like to shoot the ball at angle.

Shot is made from a horizontal distance of and must be accurate to  (horizontally). 

Step-by-step explanation

Step 1.

Final height  

Initial height  

Minimum horizontal range  

Maximum horizontal range  

From the formula , the  horizontal range is  

Here is the horizontal component of velocity.And is time. is horizontal distance.

From the above formula  time  

We have here two horizontal range , first we take minimum horizontal range 

So substituting the values we get (equation  )

For vertical motion 

we have equation of motion  

Here is the vertical component of velocity .

 

(equation )

Substituting the value of from equation  

We have     

Value of  

substituting this we have      

     

Or    

 

 

This is one value of velocity.