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Sophie [7]
3 years ago
11

A ball is thrown with an initial upward velocity of 5 m/s.

Physics
1 answer:
miv72 [106K]3 years ago
6 0

Answer:

A ball is thrown at an initial height of 5 feet with an initial upward velocity at 29 ft/s. lets assume that  balls height h (in feet) after t seconds is give by:

<u>h= 5 + 29t -16t^2</u>

Explanation:

h= 5 + 29t -16t^2

 

a time when the ball's height will be 17 ft

 

17 = 5 + 29t -16t2

 

0 = -17 + 5 + 29t -16t2

 

0 = -12 + 29t - 16t2

 

Using the quadratic equation:

 

t = (-29±√(292-(4*(-16)*(-12))))÷2(-16)

 

 = (-29±√(841 - 768))÷(-32)

 

 = (-29±√(73))÷(-32)

 

 = (-29 + 8.544)÷(-32)   or   (-29 - 8.544)÷(-32)

 

 = (-20.456)÷(-32)         or   -37.544÷(-32)

 

 =  0.64                         or   1.17

 

So, the ball is at a height of 17 ft twice: once on the way up after 0.64 seconds and once on the way back down after 1.17 seconds.

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Answer:

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From the we are told that  

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Generally the time taken for the object to move from the maximum height to the ground is mathematically using kinematic equation as follows

       h  =  ut_1 + \frac{1}{2}  gt_1^2

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Also  g is positive because we are moving in the direction of gravity  

So

       15  =  0* t  +  4.9 t^2

=>      t_1  =  1.7496

Generally the total time taken is mathematically represented as

          T_t =  t + t_1

=>        T_t =  0.8163  +   1.7496

=>        T_t =  2.5659 \  s            

 

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