Which of the following statements is true for any location of the projectile in its trajectory?Group of answer choicesTime to travel the horizontal distance and time to travel the vertical distance are the sameTime to travel horizontal distance is zero but time to travel the vertical distance is 9.8 secondsTime to travel the horizontal distance is 9.8 seconds but the time to travel the vertical distance is zeroMore information is needed to answer this questionCorrect answer to this question will depend on whether the projectile is launched horizontally or vertically
Question
Which of the following statements is true for any location of the projectile in its trajectory?Group of answer choicesTime to travel the horizontal distance and time to travel the vertical distance are the sameTime to travel horizontal distance is zero but time to travel the vertical distance is 9.8 secondsTime to travel the horizontal distance is 9.8 seconds but the time to travel the vertical distance is zeroMore information is needed to answer this questionCorrect answer to this question will depend on whether the projectile is launched horizontally or vertically
Solution
The correct answer is "Time to travel the horizontal distance and time to travel the vertical distance are the same".
This is because the time of flight for a projectile is determined by the vertical motion alone. So, the time it takes for the projectile to travel horizontally or vertically is the same. This is true regardless of the angle at which the projectile is launched.
Here's a step-by-step explanation:
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The motion of a projectile is described by two components: horizontal motion and vertical motion. These two motions are independent of each other.
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The horizontal motion occurs at a constant velocity. This means that it will continue at this velocity for the entire duration of the flight.
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The vertical motion is influenced by the force of gravity. It starts at an initial upward velocity and then slows down as it rises, stops at the peak of the trajectory, and then accelerates on the way down under the force of gravity.
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The time it takes for the projectile to rise and then fall back down is the same amount of time it takes for the projectile to travel horizontally. This is because both the horizontal and vertical motions are happening simultaneously.
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Therefore, the time to travel the horizontal distance and the time to travel the vertical distance are the same for any projectile in its trajectory.
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