An object is dropped from a height of 570 m above the surface of a planet. The following table shows the height of the object at certain times. Time, t s 0 Height, h m 570 1 2 3 4 565.565 552.26 530.085 5 6 499.04 459.125 410.34 The path of the object can be modeled using a quadratic function of the form h(t) = at + bt+c (a) Using the information in the table above, determine the value of the constant c exactly. C = Number (b) Determine the value of the constants a and b, correct to 2 decimal places. a = b= Number Number (c) Using the information above, determine when the object will hit the ground, correct to 1 decimal places. Number Units (d) The table below gives a list of planets and their respective accelerations due to gravity. The constant a in your equation above is equal to half the magnitude of the acceleration, i.e. g = 2|a|. Determine the planet where the object is dropped. Body Magnitude of the Acceleration due to gravity, g m/s Mercury 3.59 Venus 8.87 Earth 9.81 Mars 3.77 Jupiter 25.95 Saturn 11.08 Uranus 10.67 Neptune 14.07 O O O O O O Mercury Venus Mars Jupiter Saturn Uranus Neptune