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professor190 [17]
2 years ago
7

HURRY HELP PLS‼️‼️‼️

Mathematics
1 answer:
Brums [2.3K]2 years ago
6 0

Answer:

Step-by-step explanation:

To solve this problem you need the function

 

h(t) = -16t2 + v0t + h0

where t = time

v0 is the initial velocity, which in our case is 0

h0 = initial height, which in our case is 256

h(t) = 0 since we want to know when the ball will hit the ground.

 

0 = -16 t2 + 256

 

And we can solve for t

 

If we rearrange the terms we see that this is a difference of 2 squares

0 = 256 - 16t2

 

0 = (16-4t)(16+4t)

Setting each factor = 0

16-4t=0       16+4t=4

t = 4             t = -4

 

The second solution is discarded as time cannot be negative.

 

So the ball will hit the ground in 4 seconds.

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