In baseball, the pitcher\'s mound is raised to compensate for the fact that the

Question

In baseball, the pitcher's mound is raised to compensate for the fact that the ball falls downward as it travels from the pitcher toward the batter. (a.) If baseball were played on the moon (acceleration due to gravity, g_moon = 1.62 m/s^2), would the pitcher's mound have to be higher than, lower than, or the same height as it is on earth? Give your reasoning. (b.) la there any place along the trajectory where the velocity and acceleration are perpendicular? If so, where? Explain (c.) Is there any place where the velocity and acceleration are parallel? If so, where? Explain

Explanation / Answer

(a) The gravitational pull on moon is nearly 1/6th of that on the Earth. That means the vertical movement will be much higher on the moon. So we can naturally expect that the pitcher's mound to be lower than that of the earth.

(b) At the highest vertical point on the trajectory, the acceleration and the velocity are perpendicular. At this point, the vertical component of velocity is zero so there is only horizontal component of velocity and the acceleration is always downward so these two are perpendicular to each other.

(c) Velocity and acceleration are never parallel. which means the object to have a zero horizontal component of velocity which is not possible because the object has to travel forward to complete the trajectory.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.