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How fast must an object be thrown up if it is to stay in the air for 5 seconds before hitting the ground again?
Wiki User
∙ 14y ago
An object can be thrown vertically upwards or at an angle to the ground, in both cases it is needed that time of flight be 5 seconds. This means it's time of ascent (going up) is 2.5 seconds and time of descent(coming down) is also 2.5 seconds. So, it reaches highest point 2.5 seconds after it is thrown. At highest point the vertical component of velocity1 of the object becomes zero for an instance.
Now, kinematics equation can be used to solve this.
v = uy - g*t
where v is final velocity at top =0. uy is initial vertical velocity1. g is accleration due to gravity(9.8ms-2). t is time of ascent.
putting values we get.
0 = uy - 9.8 * 2.5
or uy = 24.5 ms-1
So we need to throw an object with vertical velocity = 24.5 meters per second so that it remains in air for 5 seconds.
1. If object is thrown at an angle then vertical component of velocity of projection is taken.
If object is thrown vertically upwards then vertical component of velocity of projection is
same as velocity.
vertical component of velocity of projection(uy) = u*sin(θ), where u is velocity of projection
and θ is angle of projection with respect to horizontal.
2. Accleration due to gravity is different for different places. 9.8ms-2 is an approximate
value.
3. Here, air resistance and wind speeds have been neglected as they make the calculation very
tedious and they are always varying from time to time and place to place.
Wiki User
∙ 14y ago
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When an object is dropped to the ground from a height of h meterswhere t is measured in seconds if an object falls 176.4 meters before it hits the ground find the time it took for the object to fall?
I have to make two assumptions:-- The object was not thrown down. Its speed was zerojust as it left the dropper's hand.-- There is no air in this question.With those assumptions . . .H = 1/2 G T2T = sqrt( 2H/G )T = sqrt( 2 x 176.4/9.8 ) = 6 seconds
Is it true an object that will hit the ground before an object that is thrown horizontally?
yes, i just test right now
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Will the object that is dropped hit the ground before an object that is that it is thrown horizontally from the same height?
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When an object is dropped to the ground from a height of h meterswhere t is measured in seconds if an object falls 176.4 meters before it hits the ground find the time it took for the object to fall?
I have to make two assumptions:-- The object was not thrown down. Its speed was zerojust as it left the dropper's hand.-- There is no air in this question.With those assumptions . . .H = 1/2 G T2T = sqrt( 2H/G )T = sqrt( 2 x 176.4/9.8 ) = 6 seconds
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Is it true an object that will hit the ground before an object that is thrown horizontally?
yes, i just test right now
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True or false an object that is dropped will hit the ground before an object that is thrown horizontally from the same height?
False, provided the drop occurs no sooner than the throw, and the ground is flat .
Why does a body exerts more force on ground when it is dropped from a certain height than when it at rest at the ground although in both the cases mass and acceleration is constant See discussion too?
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