
Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first?
A. The faster one
B. The slower one
C. Both will reach simultaneously
D. Depends on the masses
Answer
481.8k+ views
Hint:The projectiles' velocity has only a horizontal component at first, and the vertical component is zero. The bullets, on the other hand, have a downward acceleration, making their route semi-parabolic. As a result of their vertically downward acceleration owing to gravity, both bullets will impact the ground.
Complete step by step answer:
There is no vertical component to velocity, only a horizontal component.The bullets are the same height because they are fired horizontally from the same location.Time is calculated using the formula:
$T = \sqrt {\dfrac{{2h}}{g}} $
Both bullets will hit the ground at the same time since their acceleration \[\left( g \right)\] is the same.As a result, the time it takes for the bullets to reach the ground is unaffected by their starting horizontal speed. As a result, both bullets fired in the horizontal direction from the same height will hit the ground at the same time.
Hence, the correct option is C.
Note:It’s worth mentioning that both shots will strike the ground simultaneously.The one dropped vertically begins with \[0\] vertical velocity and accelerates to \[9.8\,m{s^2}\] before hitting the ground after traversing the height. Now, if you include in wind resistance, say a resistive force of \[x\] Newton, the vertical drop will be somewhat delayed, requiring slightly longer time to finish. This resistive force can be computed using the difference between the actual and anticipated times on a stopwatch, without accounting for wind resistance on paper.
Complete step by step answer:
There is no vertical component to velocity, only a horizontal component.The bullets are the same height because they are fired horizontally from the same location.Time is calculated using the formula:
$T = \sqrt {\dfrac{{2h}}{g}} $
Both bullets will hit the ground at the same time since their acceleration \[\left( g \right)\] is the same.As a result, the time it takes for the bullets to reach the ground is unaffected by their starting horizontal speed. As a result, both bullets fired in the horizontal direction from the same height will hit the ground at the same time.
Hence, the correct option is C.
Note:It’s worth mentioning that both shots will strike the ground simultaneously.The one dropped vertically begins with \[0\] vertical velocity and accelerates to \[9.8\,m{s^2}\] before hitting the ground after traversing the height. Now, if you include in wind resistance, say a resistive force of \[x\] Newton, the vertical drop will be somewhat delayed, requiring slightly longer time to finish. This resistive force can be computed using the difference between the actual and anticipated times on a stopwatch, without accounting for wind resistance on paper.
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