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
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.
Get Answers For Free
Most questions answered within 1 hours.