A boy stands on a diving board and tosses a stone into a swimming pool. The stone is thrown from a height of m above the water surface with a velocity of m/s at an angle of above the horizontal. As the stone strikes the water surface, it immediately slows down to exactly half the speed it had when it struck the water and maintains that speed while in the water. After the stone enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water. If the pool is m deep, how much time elapses between when the stone is thrown and when it strikes the bottom of the pool?

Complete Question

A boy stands on a diving board and tosses a stone into a swimming pool. The stone is thrown from a height of 2.50 m above the water surface with a velocity of 4.00 m/s at an angle of 60.0 degrees above the horizontal.  As the stone strikes the water surface, it immediately slows down exactly half the speed it had when it struck the water and maintains that speed while in the water.  After the stone enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water.  If the pool is 3.00 m deep, how much time elapses between the stone is thrown and when it strikes the bottom of the pool?

The value  is  

Explanation:

From the question we are told that

    The height of the throw is  

    The velocity is  

     The angle is  

          The depth of the pool is  

Generally the velocity of the stone towards the horizontal direction is  

=>    

=>          

Generally the velocity of the stone towards the vertical direction is  

=>    

=>      

Generally from kinematic equation we have that

Here s = -h , the reason for the negative sign is because the distance traveled is towards the negative y-axis

t is the time taken by the stone to travel through air

 So

Here  g =  -9.8 m/s^2  because the direction of movement is in the negative y axis

=>    

Solving the above equation using quadratic formula   we obtain t to be  

      t =  1.15 s

Generally from kinematic equation

Here  

is the velocity of the stone just before it hits the water

  =>        

   =>        

The negative sign just signify's the direction of the velocity

The magnitude is  

Generally the speed of the stone in water is  

=>    

=>    

The time taken to travel through the water is  

=>    

=>    

Generally the total  time taken is mathematically represented as

=>    

=>    

the answer is neither ball has a charge.

because if they were both positively charged, they will repel each other.

if they were positively and negatively charged, they will seek.

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