# A projectile is shot at an angle of #pi/4 # and a velocity of # 2 m/s#. How far away will the projectile land?

##### 1 Answer

I got

To give a full explanation of the calculation method proved too long. So I have given a summery of the method I used.

#### Explanation:

Let total time of flight be

Find time of flight using

Vertical component of projectile

The vertical travel distance (upwards) at

This must match the downward distance due to gravity at

This is the mean velocity (downwards) multiplied by flight time

Equate them to each other and you have a quadratic that can be solved using the standard form equation.

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Having found

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