A particle moves under the influence of various non-constantforces near the Earth's surface and its motion can be parametrizedaccording to the following equations:

A particle moves under the influence of various non-constant forces near the Earth's surface and its motion can be parameterized according to the following equations: x(t) = 2t - 1 y(t) = t4 – 873 + 16t? – 10 a) For t ε [-10,10), use integers values of t to create a table of values for x and y. b) Plot the values on the x-y plane. What does this curve represent? c) Find all equations of motion in both directions. d) Determine when the object is speeding up and slowing down in both directions. e) Find the total displacement and distance travelled in the horizontal and vertical directions separately. f) Can your answers in e) be used in any way to find the total distance travelled in 2-D?