# A projectile is shot at an angle of #pi/12 # and a velocity of #4 m/s#. How far away will the projectile land?

##### 1 Answer

Answer is:

#### Explanation:

Let the gravity acceleration be

The time traveled will be equal to the time it reaches its maximum height

The initial vertical speed is:

**Time to maximum height #t_1#**

As the object decelerates:

Since the object finally stops

**Time to hit the ground #t_2#**

The height during the rising time was:

The same height applies to the dropping time, but with the free fall formula:

*(Note: #t_1=t_2# because of energy preservation law.)*

The total time traveled is:

The distance traveled in the horizontal plane has a constant speed equal to:

Finally, the distance is given:

P.S. For future problems identical to this one but with different numbers, you can use the formula:

**Proof** : we are basically going to use the same method inversely, but without substituting the numbers: