Planet earth is home to very curious humans who want to expand their knowledge of space and other planets. Scientists are prepared to run tests on different planets but want to mathematically test their theories first. Information gathered about gravity in m/s2 on different planets is in the table below.

1. On Mercury, a scientist is planning to shoot an object into the air at 37 m/s from the ground.
a. Help the scientist write the equation for this situation in standard form, and then in factored form.

b. Help the scientist find the maximum height the object will reach.

Which statement about the relative areas of ? abc and ? xyz is true? the area of ? abc > the area of ? xyz the area of ? abc < the area of ? xyz the area of ? abc = the area of ? xyz more information is needed to compare.

Convert (-3,0) to polar form. a. (3,0’) b. (-3,180’) c. (3,180’) d. (3,360’)

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.