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.