SOLUTION: Suppose you throw a ball upward with a starting velocity of 30ft/s. The ball is 6ft high when it leaves your hand. After how many seconds will it hit the ground?
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Question 188705This question is from textbook
: Suppose you throw a ball upward with a starting velocity of 30ft/s. The ball is 6ft high when it leaves your hand. After how many seconds will it hit the ground? This question is from textbook
You can put this solution on YOUR website! Suppose you throw a ball upward with a starting velocity of 30ft/s. The ball is 6ft high when it leaves your hand. After how many seconds will it hit the ground?
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Equation that gives the height of the object after t seconds.
s(t) = -16t^2 + 30t + 6
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The height will be zero when the object hits the ground.
-16t^2 + 30t + 6 = 0
-8t^2 + 15t + 3 = 0
Use the quadratic formula to get:
t = [-15 +- sqrt(225 - 4*-8*3)]/(-16)
t = [-15 - 17.92]/(-16)
t = 2.07 seconds
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Cheers,
Stan H.
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