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
As the object decelerates:
Since the object finally stops
Time to hit the ground
The height during the rising time was:
The same height applies to the dropping time, but with the free fall formula:
(Note:
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: