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SpyIntel [72]
2 years ago
13

Sloane kicked a soccer ball at a speed of 56 feet per second. If the ball never leaves the ground, then it can be represented by

the function H(t) = −16t2 + 56t. Determine the time the ball traveled. T = 56 seconds t = 16 seconds t = 3.5 seconds t = 0.29 seconds
Mathematics
1 answer:
aksik [14]2 years ago
3 0

Answer:

Third option: t=3.5\ seconds

Step-by-step explanation:

Given the function:

 H(t)=-16t^2 +56t

 Since the ball never leaves the ground, you need to  substitute H(t)= 0 in the function in order to determine the time the soccer ball traveled:

0=-16t^2 +56t

Factorizing, you get:

0=-8t(2t-7)

Then:

0=-8t\\\\t=0\ seconds\\\\\\\\0=2t-7\\\\7=2t\\\\t=3.5\ seconds

Therefore the time the ball traveled was:

t=3.5\ seconds

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