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The Washington Monument is the world's tallest obelisk at 555 feet. Suppose a penny is dropped...

The Washington Monument is the world's tallest obelisk at 555 feet. Suppose a penny is dropped from the observation deck from a height of 500 feet. (Let t represent the number of seconds after the penny is dropped.)

(a) If the acceleration due to gravity near the surface of the earth is −32 feet per second per second and the velocity of the penny is 0 when it is dropped, write the function for the model for the velocity, v, of the falling penny t seconds after the penny is dropped.
v(t) =  

  ft/sec

(b) Write the function for the model that gives the height, s, of the penny  t seconds after the penny is dropped using the velocity function from part (a) and the fact that distance is 500 feet when the time is 0.
s(t) =  

  ft

(c) How long will it take for the penny to reach the ground? (Round your answer to one decimal place.)
t =  sec

Math   Calculus   
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A problem on freely falling object.To find expressions of its velocity and height as functions of time.Also to find the time required to reach the ground.

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