(PLEASE ANSWER!) The equation for the motion of an object with constant acceleration is d=vt+0.5at2
where d is distance traveled in ft, v is starting velocity in ft/s, a is acceleration in
ft/s2, and t is time in seconds. A racecar begins with a velocity of 200 ft/s and
accelerates at 100 ft/s2.
Write an expression for the distance the car travels after t 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?

Is appreciated! graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function. f(x) = 4^xg(x) = 4x^2options: x = -1x = 0x = 1x = 2

The table shows the balance of a money market account over time. write a function that represents the balance y (in dollars) after t years.