When ms. bibbi kicked a soccer ball, it traveled a horizontal distance of

150 feet and reached a height of 100 feet at its highest point.

a.

sketch the path of the soccer ball and write an equation for a parabola that

models it.

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?

How far could you drive on 50 gallons of gas

The midpoints of the sides of the large square are joined to form a smaller square. what is the area of the smaller square