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Question

# Bose is practicing Javelin throws. What is the relationship between the height of the javelin and time ? What would the graph of this function look like?

## The correct answer is: x = T (Time of flight), y = 0

### SOL – The relationship between time of flight, T and maximum height of the projectile (javelin), H is given by

H = g T^{2} which is a quadratic equation.

We know that the graph of a quadratic function is a parabola and has a curved shape.

Let time taken = x

Height of the flight = y

Since javelin will be thrown from certain height by Bose, when time, x = 0 , y = a

After some time, javelin will reach at its maximum height, H.

Then, it will start to fall i.e., height will decrease and finally javelin will reach ground.

So, when x = T (Time of flight), y = 0

H = g T2, where H is maximum height and T is time of the flight.

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