2. A diver followed a path defined by h(t)=-4.9t? +3t+10 in her dive, where t is the
time, in seconds, and h represents her height above the water, in metres.
a) At what height did the diver start her dive? [1]
b) For how long was the diver in the air? [4]
c) What are the domain and range of the diver while in the air? [4]
d) When will the diver reach a height of 5m? [4]

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?

Assemble the proof by dragging tiles to the statements and reasons column

Find the ratios of the corresponding sides