Tulane Physics
posted by laura .
a rock is thrown unward off a cliff at a 45 degree angle. THe rock falls back to the elevation it was thrown from after 3.56 seconds. It hits the water 5.31 seconds after it was thrown. How high is the cliff? what is the horizontal distance from the cliff to the point in the water that the rock lands?

consider the vertical movement
hf=hi+Viv*t1/2 g t^2
first equation: 0=Viv*3.564.9(3.56^2)
solve for Viv, the initial componentof vertical velocity
Second equation: hf=hi+Viv*5.314.9(5.31)^2
0=hi+ Viv....
solve for hi, the initial height of the cliff.
Finally, initial horizontal velocity (at 45 deg) must be the same magnitude as the initial vertical component.
horizontal distance= Vih*5.31
where Vih=Viv
Respond to this Question
Similar Questions

physics
A rock is thrown vertically upward from the edge of a cliff. The rock reaches a maximum height of 20.6 m above the top of the cliff before falling to the base of the cliff, landing 6.44 s after it was thrown. How high is the cliff? 
physics
A rock is thrown vertically upward from the edge of a cliff. The rock reaches a maximum height of 20.6 m above the top of the cliff before falling to the base of the cliff, landing 6.54 s after it was thrown. How high is the cliff? 
Physics
Example 1: (Rock A) is thrown against a larger stationary rock(Rock B). considering the following possibilities... 1. Rock A bounces off of Rock B 2. Rock A splits into two pieces off of Rock B 3. Rock A explodes into many pieces off … 
Math
For this problem, a person standing on the edge of a cliff throws a rock directly upward. it is observed that 2 secs later the rock is at its maximum height (in feet) and that 5 secs after that (meaning 7 seconds after being thrown) … 
algebra
Rock is thrown from the top of a building. The formula h=16t+234 describes the height of the rock, h in feet, t seconds after the rock is thrown. how long after the rock is thrown does it hit the ground? 
Physics
A rock is thrown directly upward from the edge of the roof of a building that is 35.3 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any effects … 
Math
A rock is thrown upward from a bridge that is 88 feet above a road. The rock reaches its maximum height above the road 0.67 seconds after it is thrown and contacts the road 3.18 seconds after it was thrown. Define a quadratic function, … 
Physics
A rock is thrown horizontally off of a cliff. It starts with a velocity of 4.2 m/s and the cliff is 68.2 m high. How long does the rock fall? 
Physics Please help!!
A rock is thrown horizontally off of a cliff. It starts with a velocity of 4.2 m/s and the cliff is 68.2 m high. How long does the rock fall? 
Physics
A rock is thrown directly upward from the edge of the roof of a building that is 40.2 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any effects …