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Sagot :
A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The time taken by the object to hit the ground is 2.7 seconds.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
It is given that,
Initial velocity of an object, u = 9 m/s
Height, h = 11 m
The equation that models the height of the object in meters after t seconds is :
[tex]h(t)= -4.9t^2+9t+11[/tex]
We have to find the time it take for the bowling pin to hit the ground
i.e. [tex]-4.9t^2+9t+11=0[/tex]
On solving the above quadratic equation, we get the value of time t is :
t = 2.7 seconds
Hence, The time it takes to hit the ground would be 2.7 seconds.
Learn more about quadratic equations here:
https://brainly.com/question/3358603
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