Two baseballs are thrown vertically up from the ground at the same speed,one on Earth,and one on Mars.The baseball on Earth reaches a maximum height of 25 m.Which ball hits the ground first and by what time difference? (g_Mars = 0.38 g_Earth) A)Mars by 7.4 s B)Earth by 7.4 s C)Earth by 3.7 s D)Mars by 3.7 s E)Earth by 2.7 s

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Quizplus · Accepted Answer

The time of flight for an object thrown vertically is given by $T = \frac{2v}{g}$, where $v$ is the initial velocity and $g$ is the acceleration due to gravity. Since the acceleration due to gravity on Mars is $0.38$ times that on Earth, the time of flight on Mars will be longer. Given that the ball on Earth reaches a maximum height of $25m$, we can use the formula $h = \frac{v^2}{2g}$ to find $v$, and then calculate the time of flight for each planet. However, without calculating, we know the ball on Earth will hit the ground first because it is subject to a greater gravitational acceleration. The time difference can be calculated based on the given gravitational acceleration ratios, but the key point is recognizing that Earth's stronger gravity pulls the ball down faster.

Two Baseballs Are Thrown Vertically Up from the Ground at the Same