An object is dropped from a height of 610 m above the surface of aplanet. The following table shows the height of the object at certain times. Time,...

An object is dropped from a height of 610 m above the surface of a planet.

The following table shows the height of the object at certain times.  

Time, t

sHeight, h

m06101604.6652588.663561.9854524.645476.6256417.94

The path of the object can be modeled using a quadratic function of the form h(t)=at

2

+bt+c

(a) Using the information in the table above, determine the value of the constant c

 exactly.

c=

(b) Determine the value of the constants a

and b

, correct to 2 decimal places. 

a=

b=

(c) Using the information above, determine when the object will hit the ground, correct to 1 decimal places.

(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/s2Mercury3.59Venus8.87Earth9.81Mars3.77Jupiter25.95Saturn11.08Uranus10.67Neptune14.07

Mercury

Venus

Mars

Jupiter

Saturn

Uranus

Neptune