A water balloon is tossed into the air with an upward velocity of 25 ft/s. Its height h (t) in ft after t seconds is given by the function h (t) = - 16t2 + 25t + 3. Show your work.

19. After how many seconds will the balloon hit the ground? (hint: Use the quadratic formula)

20. What will the height be at t = 1 second

Question

Kristen Santiago

Mathematics

15 February, 07:25

A water balloon is tossed into the air with an upward velocity of 25 ft/s. Its height h (t) in ft after t seconds is given by the function h (t) = - 16t2 + 25t + 3. Show your work.

19. After how many seconds will the balloon hit the ground? (hint: Use the quadratic formula)

20. What will the height be at t = 1 second

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Answers (1)

Know the Answer?

Kian Owen · Answer 1

19. The balloon hits the ground means - 16t2+25t+3=0

After you solve the equation, there are 2 solution ~1.67 or ~-0.11 (the time can not be negative) so the solution is 1.67s

20. substitute t=1 to the function - 16 (1) 2+25 (1) + 3=-16+25+3=12 ft. So the height is 12ft when t=1