An object falls from a window. the distance the object has traveled, d, is jointly related to the acceleration due to gravity and the square of the time elapsed. the object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. assuming the object continues to fall and the acceleration due to gravity remains the same, how far has the object traveled after 2 seconds?

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Find the vertex of the function given below y=x^2-6x+1

Which type of graph would allow us to quickly see how many students between 100 and 200 students were treated?