An airplane buzzes an airfield. Its distance from the ground at various times (measured from the start of its maneuver) are: [400 feet at 2 seconds ],
[200 feet at 4 seconds], [50 feet at 6 seconds],
[ 25 feet at 7 seconds], [ 50 feet at 8 seconds].
The best approximation to the instantaneous rate of change of the distance from the ground at 5 seconds from the start of the maneuver is given by
(A) (50-400)/(8-2) ft/s.
(B) (50-400)/(6-2) ft/s.
(C) (25-200)/(7-4) ft/s.
(D) (50-200)/(6-4) ft/s.
(E) (50-200)/(8-4) ft/s.
An airplane buzzes an airfield. Its distance from the ground at various times (measured from the start of its maneuver) are:
[400 feet at 2 seconds ], [200 feet at 4 seconds], [50 feet at 6 seconds], [25 feet at 7 seconds], [50 feet at 8 seconds].
The best approximation to the instantaneous rate of change of the distance from the ground at 5 seconds from the start of the maneuver is given by
(A) (50-400)/(8-2) ft/s. No.
That time interval is too long.
An airplane buzzes an airfield. Its distance from the ground at various times (measured from the start of its maneuver) are:
[400 feet at 2 seconds ], [200 feet at 4 seconds], [50 feet at 6 seconds], [25 feet at 7 seconds], [50 feet at 8 seconds].
The best approximation to the instantaneous rate of change of the distance from the ground at 5 seconds from the start of the maneuver is given by
(B) (50-400)/(6-2) ft/s. No.
A shorter time interval is available.
An airplane buzzes an airfield. Its distance from the ground at various times (measured from the start of its maneuver) are:
[400 feet at 2 seconds ], [200 feet at 4 seconds], [50 feet at 6 seconds], [25 feet at 7 seconds], [50 feet at 8 seconds].
The best approximation to the instantaneous rate of change of the distance from the ground at 5 seconds from the start of the maneuver is given by
(C) (25-200)/(7-4) ft/s. No. That is not
the shortest available time interval containing 5s.
An airplane buzzes an airfield. Its distance from the ground at various times (measured from the start of its maneuver) are:
[400 feet at 2 seconds ], [200 feet at 4 seconds], [50 feet at 6 seconds], [25 feet at 7 seconds], [50 feet at 8 seconds].
The best approximation to the instantaneous rate of change of the distance from the ground at 5 seconds from the start of the maneuver is given by
(D) (50-200)/(6-4) ft/s. Yes. That is the average rate
for the shortest available time interval containing 5s.
An airplane buzzes an airfield. Its distance from the ground at various times (measured from the start of its maneuver) are:
[400 feet at 2 seconds ], [200 feet at 4 seconds], [50 feet at 6 seconds], [25 feet at 7 seconds], [50 feet at 8 seconds].
The best approximation to the instantaneous rate of change of the distance from the ground at 5 seconds from the start of the maneuver is given by
(E) (50-200)/(8-4) No. That is not the shortest
available time interval containing 5s.
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