A diver launches off of a 25 m cliff with a speed of 5 m/s and an angle of 30° from the horizontal. How long does it take the diver to hit the water?
1 Answer
Assuming
Assuming
Explanation:
Once you know the initial velocity in the y, you can treat this as one dimensional motion (in the y) and ignore the x motion (you only need the x if you want to know how far from the cliff they will land).
Note: I will be treating UP as negative and DOWN as positive for the WHOLE problem.
-Need to know if it's
A) Assuming
We break up the initial velocity of
Note that
but this does NOT affect the answer.
We have the initial velocity
the acceleration,
the displacement,
The Kinematic equation that has these terms is given by:
Subbing in we have
Put this though the quadratic formula to solve for t.
In this case the negative root is nonsense, so
B) Assuming
We break up the initial velocity of
Note that
We have the initial velocity
Subbing in we have
Put this though the quadratic formula to solve for t.
Again, the negative root is nonsense, so