At Least One Defective iPhone It has been reported that 20% of iPhones manufactured by Foxconn for a product launch did not meet
1 answer:
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Answer:
1.451 seconds. Hurry.
Step-by-step explanation:
The position(height, h) of the foot ball will be given by the equation:
h = -32.2t^2 + 45t + 2.5
The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.
We can either calculate or graph with this function to find the time the ball spends in the air:
<u>Calculate: </u>
h = -32.2t^2 + 45t + 2.5
We need a value of t that would cause h to be 5.5 feet, the level it was caught:
5.5 = -32.2t^2 + 45t + 2.5
-32.2t^2 + 45t + 2.5 = 5.5
-32.2t^2 + 45t -3.0 = 0
Solve for t using the quadratic formula. I get a value of 1.33 seconds.
<u>Graph:</u>
See the attached graph. It confirms the 1.33 second value
Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse
so recall your SOH CAH TOA
which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine
make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode
we have, the opposite side
the angle
and we want the hypotenuse
so recall your SOH CAH TOA
which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine
make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode
This can be solved using the angle bisector theorem. Note that line segment AD is the angle bisector of triangle DAB from angle DAB. Therefore, we know that the ratios 
and 
are equal. Solving, we get 
. Cross multiplying, we get 
, and solving this equation we get 
. 10.2 is your answer.