SOLUTION: *The height h in feet of a ball t seconds after being tossed upwards is given by the function h(t)=84t-16t^2.
a. After how many seconds will it hit the ground?
b. What is it's m
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Question 824839: *The height h in feet of a ball t seconds after being tossed upwards is given by the function h(t)=84t-16t^2.
a. After how many seconds will it hit the ground?
b. What is it's maximum height?
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Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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You asked 8 different questions in one post!
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I will answer the first question, and you can re-post each of your other questions individually, one question per post.
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question:
The height h in feet of a ball t seconds after being tossed upwards is given by the function
h(t)=84t-16t^2
a. After how many seconds will it hit the ground?
b. What is it's maximum height?
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h(t) = -16t^2 + 84t
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the above quadratic equation is in standard form, with a=-16, b=84, and c=0
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-16 84 0
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two real roots (the x-intercepts), which are:
t = 0
t = 5.25
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answerA:
the first root indicates the time the ball is tossed (t=0)
the second root indicates the time the ball strikes the ground (t=5.25 seconds)
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answerB:
the quadratic vertex is a maximum at: ( t= 2.625, h= 110.25 )
the ball reaches a maximum height of 110.25 ft at the time 2.625 seconds after being tossed
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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