Question
An air cannon launches a T- shirt upward toward basketball fans. It reaches a maximum height and then descends for a couple seconds until a fan grabs it. Sketch the graph that represents this situation .
Hint:
H = g T2 where His maximum height and T is time of flight.
The correct answer is: it descends for a couple seconds. Note that T – shirt did not reach ground since someone grab it.
SOL – Let time taken = x
Height of the flight = y
We know that relationship between time of flight ,T, and maximum height of T – shirt , H is given by
H = g T2 which is a quadratic equation.
We know that the graph of a quadratic function is a parabola and has a curved shape.
It is given that an air cannon launched a T- shirt upward.
When time, x = 0, Height = 0
Then, after some time, it reaches a maximum height.
Let maximum height = H
Further, it descends for a couple seconds. Note that T – shirt did not reach ground since someone grab it.
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