SOLUTION: An object thrown from a planet an altitude of 1449 ft. The initial velocity is 16ft/s. How many seconds later will the object strike the ground?
Hooblah1991@gmail.com
Algebra.Com
Question 996115: An object thrown from a planet an altitude of 1449 ft. The initial velocity is 16ft/s. How many seconds later will the object strike the ground?
Hooblah1991@gmail.com
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If that planet is Earth, or you meant "thrown from a plane", and the object is thrown downwards, I have an answer.
The acceleration of gravity for objects as close to Earth's surface as non-astronauts ever get is .
With an initial downward velocity of ,
the downwards velocity (in ft/s) for a heavy enough object
would be ,
as a function of time, (in seconds) since the object was thrown.
NOTE:
In real life, some objects (like a helium filled balloon) will not fall like that, because buoyancy makes the downward "weight" force less than mass times .
Also, even for heavy enough objects, air drag will eventually stop the velocity increase,
and a constant velocity (terminal velocity) will be asymptotically approached.
IF WE CAN DISREGARD THE EFFECTS OF BUOYANCY AND AIR DRAG:
The average velocity for the first seconds is
.
The distance (in ft) the object travels over seconds is
.
When the object has traveled downwards,
it strikes the ground, and
<---> .
Solving that quadratic equation, we find
IF WE HAVE TO CONSIDER AIR DRAG AND/OR BUOYANCY:
It will take longer for that object to strike the ground,
but it is a more complicated calculation,
and it depends on the "drag coefficient" of the object,
and that depends of the shape
With high terminal velocities of about 90 m/s (about 300 ft/s) reported (for a bullet),
it is likely that drag would be a factor, because without it,
after 9 seconds the velocity (in ft/s) would be
ft/s.
RELATED QUESTIONS
An object is thrown downward, with an initial speed of 16ft/s, from the top of a building (answered by stanbon)
An object is released from a plane at an altitude of 1600 ft. The initial velocity is 0... (answered by funmath)
How high is the rock after 0.5 seconds?
After how many seconds will the rock reach... (answered by jim_thompson5910)
physics:
an object is released from a plane at an altitude of 1600 ft.
the initial... (answered by venugopalramana,Nate)
Solve the problem.
An object is thrown downward from a plane which is 540 feet above... (answered by dabanfield)
An object is thrown downward from a plane which is 540 feet above the ground. The object... (answered by richwmiller,nerdybill)
A ball is thrown upward with an initial velocity of 32 ft/s from a height 768 ft.... (answered by stanbon)
How do you solve the problem:
An object is thrown downward with a speed of 16ft/sec... (answered by jorel1380)
An object is thrown vertically upward from the ground with a velocity of 96 ft/s. Its... (answered by solver91311)