You throw a ball up in the air. the basketball's height, in feet, is given by the function:h=-16t^2+30t+4, where t is the time in seconds after the ball leaves your hand. Find the greatest height the ball reaches (use a calculator).

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Mathematics

10 February, 01:59

You throw a ball up in the air. the basketball's height, in feet, is given by the function:h=-16t^2+30t+4, where t is the time in seconds after the ball leaves your hand. Find the greatest height the ball reaches (use a calculator).

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Answers (1)

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Cash Joseph · Answer 1

18.0625 ft

Step-by-step explanation:

Greatest height is when:

t = - b/2a

t = - 30/2 (-16)

t = 15/16

Greatest height is:

-16t (15/16) ² + 30 (15/16) + 4 = 289/16

= 18.0625m